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48900099728520 = 2334574172034869
BaseRepresentation
bin10110001111001011100010…
…00100101110010010001000
320102010210201000202020020000
423013211301010232102020
522402134401012303040
6252000221245203000
713204626025365225
oct1307456104562210
9212123630666200
1048900099728520
1114643463523667
125599200560460
13213934b4c4a81
14c10ac54a094c
1559c00cd0d130
hex2c797112e488

48900099728520 has 160 divisors (see below), whose sum is σ = 164380909037400. Its totient is φ = 13038262060032.

The previous prime is 48900099728509. The next prime is 48900099728527. The reversal of 48900099728520 is 2582799000984.

It is a happy number.

48900099728520 is a `hidden beast` number, since 4 + 89 + 0 + 0 + 0 + 9 + 9 + 7 + 28 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41980369559076 + 6919730169444 = 6479226^2 + 2630538^2 .

It is not an unprimeable number, because it can be changed into a prime (48900099728527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23013646 + ... + 25048514.

Almost surely, 248900099728520 is an apocalyptic number.

48900099728520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48900099728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82190454518700).

48900099728520 is an abundant number, since it is smaller than the sum of its proper divisors (115480809308880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48900099728520 is a wasteful number, since it uses less digits than its factorization.

48900099728520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042309 (or 2042296 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 48900099728520 in words is "forty-eight trillion, nine hundred billion, ninety-nine million, seven hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7417 14834 22251 29668 37085 44502 59336 66753 74170 89004 111255 133506 148340 178008 200259 222510 267012 296680 333765 400518 445020 534024 600777 667530 801036 890040 1001295 1201554 1335060 1602072 2002590 2034869 2403108 2670120 3003885 4005180 4069738 4806216 6007770 6104607 8010360 8139476 10174345 12015540 12209214 16278952 18313821 20348690 24031080 24418428 30523035 36627642 40697380 48836856 54941463 61046070 73255284 81394760 91569105 109882926 122092140 146510568 164824389 183138210 219765852 244184280 274707315 329648778 366276420 439531704 549414630 659297556 732552840 824121945 1098829260 1318595112 1648243890 2197658520 3296487780 6592975560 15092623373 30185246746 45277870119 60370493492 75463116865 90555740238 120740986984 135833610357 150926233730 181111480476 226389350595 271667220714 301852467460 362222960952 407500831071 452778701190 543334441428 603704934920 679168051785 815001662142 905557402380 1086668882856 1222502493213 1358336103570 1630003324284 1811114804760 2037504155355 2445004986426 2716672207140 3260006648568 4075008310710 4890009972852 5433344414280 6112512466065 8150016621420 9780019945704 12225024932130 16300033242840 24450049864260 48900099728520