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10058990496 = 253374616143
BaseRepresentation
bin10010101111001000…
…00000001110100000
3221222000202122212120
421113210000032200
5131100100143441
64342051024240
7504162002622
oct112744001640
927860678776
1010058990496
1142a2046495
121b4889b080
13c43ca2aa9
146b5d1ac12
153dd161966
hex2579003a0

10058990496 has 96 divisors (see below), whose sum is σ = 27181744128. Its totient is φ = 3254768640.

The previous prime is 10058990449. The next prime is 10058990521. The reversal of 10058990496 is 69409985001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634401 + ... + 1640543.

It is an arithmetic number, because the mean of its divisors is an integer number (283143168).

Almost surely, 210058990496 is an apocalyptic number.

10058990496 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 10058990496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590872064).

10058990496 is an abundant number, since it is smaller than the sum of its proper divisors (17122753632).

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

10058990496 is a wasteful number, since it uses less digits than its factorization.

10058990496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 10058990496 in words is "ten billion, fifty-eight million, nine hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 461 592 888 922 1184 1383 1776 1844 2766 3552 3688 5532 6143 7376 11064 12286 14752 17057 18429 22128 24572 34114 36858 44256 49144 51171 68228 73716 98288 102342 136456 147432 196576 204684 227291 272912 294864 409368 454582 545824 589728 681873 818736 909164 1363746 1637472 1818328 2727492 2831923 3636656 5454984 5663846 7273312 8495769 10909968 11327692 16991538 21819936 22655384 33983076 45310768 67966152 90621536 104781151 135932304 209562302 271864608 314343453 419124604 628686906 838249208 1257373812 1676498416 2514747624 3352996832 5029495248 10058990496