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47720159693056 = 282359853916087
BaseRepresentation
bin10101101100110101101110…
…01010101100100100000000
320020222000001222101220101001
422312122313022230210000
522223321341340134211
6245254201055221344
713023445020514624
oct1266326712544400
9206860058356331
1047720159693056
11142290080a2864
1254285a0b17854
132081cb7b4b786
14bad94d1cb184
1557b49e285ac1
hex2b66b72ac900

47720159693056 has 144 divisors (see below), whose sum is σ = 101098176076800. Its totient is φ = 22431837947904.

The previous prime is 47720159693053. The next prime is 47720159693081. The reversal of 47720159693056 is 65039695102774.

It is a super-2 number, since 2×477201596930562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (47720159693053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966372245 + ... + 2966388331.

It is an arithmetic number, because the mean of its divisors is an integer number (702070667200).

Almost surely, 247720159693056 is an apocalyptic number.

47720159693056 is a gapful number since it is divisible by the number (46) 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 47720159693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50549088038400).

47720159693056 is an abundant number, since it is smaller than the sum of its proper divisors (53378016383744).

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

47720159693056 is a wasteful number, since it uses less digits than its factorization.

47720159693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24724 (or 24710 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 47720159693056 in words is "forty-seven trillion, seven hundred twenty billion, one hundred fifty-nine million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 128 184 236 256 368 472 736 944 1357 1472 1888 2714 2944 3776 5428 5888 7552 8539 10856 15104 16087 17078 21712 32174 34156 43424 64348 68312 86848 128696 136624 173696 196397 257392 273248 347392 370001 392794 503801 514784 546496 740002 785588 949133 1007602 1029568 1092992 1480004 1571176 1898266 2015204 2059136 2185984 2960008 3142352 3796532 4030408 4118272 5920016 6284704 7593064 8060816 11587423 11840032 12569408 15186128 16121632 21830059 23174846 23680064 25138816 30372256 32243264 43660118 46349692 47360128 50277632 60744512 64486528 87320236 92699384 94720256 121489024 128973056 137366893 174640472 185398768 242978048 274733786 349280944 370797536 549467572 698561888 741595072 1098935144 1397123776 1483190144 2197870288 2794247552 2966380288 3159438539 4395740576 5588495104 6318877078 8104646687 8791481152 12637754156 16209293374 17582962304 25275508312 32418586748 35165924608 50551016624 64837173496 101102033248 129674346992 186406873801 202204066496 259348693984 372813747602 404408132992 518697387968 745627495204 808816265984 1037394775936 1491254990408 2074789551872 2982509980816 5965019961632 11930039923264 23860079846528 47720159693056