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48132874531620 = 223251276073468781
BaseRepresentation
bin10101111000110110011101…
…11000110111001100100100
320022102110100210011222212200
422330123032320313030210
522302102111340002440
6250211534242414500
713065325333665054
oct1274331670671444
9208373323158780
1048132874531620
11143780459405aa
125494582361430
1320b1bab757a18
14bc5901cc9564
155870a7053c30
hex2bc6cee37324

48132874531620 has 144 divisors (see below), whose sum is σ = 147395151740928. Its totient is φ = 12713383952640.

The previous prime is 48132874531607. The next prime is 48132874531639. The reversal of 48132874531620 is 2613547823184.

48132874531620 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 2 + 8 + 7 + 4 + 5 + 3 + 1 + 620 = 666.

It is a super-2 number, since 2×481328745316202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12141630 + ... + 15610410.

Almost surely, 248132874531620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48132874531620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73697575870464).

48132874531620 is an abundant number, since it is smaller than the sum of its proper divisors (99262277209308).

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

48132874531620 is a wasteful number, since it uses less digits than its factorization.

48132874531620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469530 (or 3469525 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48132874531620 in words is "forty-eight trillion, one hundred thirty-two billion, eight hundred seventy-four million, five hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 607 635 762 1143 1214 1270 1524 1821 1905 2286 2428 2540 3035 3642 3810 4572 5463 5715 6070 7284 7620 9105 10926 11430 12140 18210 21852 22860 27315 36420 54630 77089 109260 154178 231267 308356 385445 462534 693801 770890 925068 1156335 1387602 1541780 2312670 2775204 3468781 3469005 4625340 6937562 6938010 10406343 13875124 13876020 17343905 20812686 31219029 34687810 41625372 52031715 62438058 69375620 104063430 124876116 156095145 208126860 312190290 440535187 624380580 881070374 1321605561 1762140748 2105550067 2202675935 2643211122 3964816683 4211100134 4405351870 5286422244 6316650201 6608027805 7929633366 8422200268 8810703740 10527750335 12633300402 13216055610 15859266732 18949950603 19824083415 21055500670 25266600804 26432111220 31583251005 37899901206 39648166830 42111001340 63166502010 75799802412 79296333660 94749753015 126333004020 189499506030 267404858509 378999012060 534809717018 802214575527 1069619434036 1337024292545 1604429151054 2406643726581 2674048585090 3208858302108 4011072877635 4813287453162 5348097170180 8022145755270 9626574906324 12033218632905 16044291510540 24066437265810 48132874531620