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10071778592 = 2511321572
BaseRepresentation
bin10010110000101001…
…10010010100100000
3221222220211100211202
421120110302110200
5131111333403332
64343225100332
7504405463661
oct113024622440
927886740752
1010071778592
1142a9290367
121b510276a8
13c4682c705
146b78c9368
153de33aa62
hex258532520

10071778592 has 54 divisors (see below), whose sum is σ = 20134080603. Its totient is φ = 4959532032.

The previous prime is 10071778589. The next prime is 10071778601. The reversal of 10071778592 is 29587717001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 64577296 + 10007201296 = 8036^2 + 100036^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70964.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64151378 + ... + 64151534.

Almost surely, 210071778592 is an apocalyptic number.

It is an amenable number.

10071778592 is a deficient number, since it is larger than the sum of its proper divisors (10062302011).

10071778592 is an frugal number, since it uses more digits than its factorization.

10071778592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 47.

The spelling of 10071778592 in words is "ten billion, seventy-one million, seven hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 113 157 226 314 452 628 904 1256 1808 2512 3616 5024 12769 17741 24649 25538 35482 49298 51076 70964 98596 102152 141928 197192 204304 283856 394384 408608 567712 788768 2004733 2785337 4009466 5570674 8018932 11141348 16037864 22282696 32075728 44565392 64151456 89130784 314743081 629486162 1258972324 2517944648 5035889296 10071778592