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4725956016 = 243424115131
BaseRepresentation
bin1000110011011000…
…00101110110110000
3110012100201102220000
410121230011312300
534134321043031
62100541350000
7225053651265
oct43154056660
913170642800
104725956016
112005751781
12aba868300
135a414b1a2
1432b92726c
151c9d733e6
hex119b05db0

4725956016 has 100 divisors (see below), whose sum is σ = 13735951944. Its totient is φ = 1568678400.

The previous prime is 4725956003. The next prime is 4725956023. The reversal of 4725956016 is 6106595274.

4725956016 is a `hidden beast` number, since 4 + 72 + 5 + 9 + 560 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304771 + ... + 319901.

Almost surely, 24725956016 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 4725956016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867975972).

4725956016 is an abundant number, since it is smaller than the sum of its proper divisors (9009995928).

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

4725956016 is a wasteful number, since it uses less digits than its factorization.

4725956016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4725956016 is about 68745.5890657721. The cubic root of 4725956016 is about 1678.1465784560.

The spelling of 4725956016 in words is "four billion, seven hundred twenty-five million, nine hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 324 432 482 648 723 964 1296 1446 1928 2169 2892 3856 4338 5784 6507 8676 11568 13014 15131 17352 19521 26028 30262 34704 39042 45393 52056 60524 78084 90786 104112 121048 136179 156168 181572 242096 272358 312336 363144 408537 544716 726288 817074 1089432 1225611 1634148 2178864 2451222 3268296 3646571 4902444 6536592 7293142 9804888 10939713 14586284 19609776 21879426 29172568 32819139 43758852 58345136 65638278 87517704 98457417 131276556 175035408 196914834 262553112 295372251 393829668 525106224 590744502 787659336 1181489004 1575318672 2362978008 4725956016