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10060274496 = 263436411901
BaseRepresentation
bin10010101111010001…
…11001101101000000
3221222010011220012010
421113220321231000
5131100412240441
64342134332520
7504205631226
oct112750715500
927863156163
1010060274496
1142a2843148
121b491ba140
13c4433235c
146b6172b16
153dd317116
hex257a39b40

10060274496 has 112 divisors (see below), whose sum is σ = 27293669568. Its totient is φ = 3268608000.

The previous prime is 10060274491. The next prime is 10060274503. The reversal of 10060274496 is 69447206001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060274491) 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, 5291146 + ... + 5293046.

Almost surely, 210060274496 is an apocalyptic number.

10060274496 is a gapful number since it is divisible by the number (16) 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 10060274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646834784).

10060274496 is an abundant number, since it is smaller than the sum of its proper divisors (17233395072).

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

10060274496 is a wasteful number, since it uses less digits than its factorization.

10060274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10060274496 in words is "ten billion, sixty million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 641 688 1032 1282 1376 1901 1923 2064 2564 2752 3802 3846 4128 5128 5703 7604 7692 8256 10256 11406 15208 15384 20512 22812 27563 30416 30768 41024 45624 55126 60832 61536 81743 82689 91248 110252 121664 123072 163486 165378 182496 220504 245229 326972 330756 364992 441008 490458 653944 661512 882016 980916 1218541 1307888 1323024 1764032 1961832 2437082 2615776 2646048 3655623 3923664 4874164 5231552 5292096 7311246 7847328 9748328 14622492 15694656 19496656 29244984 38993312 52397263 58489968 77986624 104794526 116979936 157191789 209589052 233959872 314383578 419178104 628767156 838356208 1257534312 1676712416 2515068624 3353424832 5030137248 10060274496