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10315292848 = 2475910971423
BaseRepresentation
bin10011001101101011…
…01110000010110000
3222121220001011121021
421212311232002300
5132111203332343
64423324305224
7513423354040
oct114665560260
928556034537
1010315292848
114413794213
121bba6a2214
13c85110ca3
146dbd97720
154058dd0ed
hex266d6e0b0

10315292848 has 80 divisors (see below), whose sum is σ = 23265653760. Its totient is φ = 4338897408.

The previous prime is 10315292843. The next prime is 10315292849. The reversal of 10315292848 is 84829251301.

It is a super-2 number, since 2×103152928482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10315292843) 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, 7248265 + ... + 7249687.

It is an arithmetic number, because the mean of its divisors is an integer number (290820672).

Almost surely, 210315292848 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 10315292848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632826880).

10315292848 is an abundant number, since it is smaller than the sum of its proper divisors (12950360912).

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

10315292848 is a wasteful number, since it uses less digits than its factorization.

10315292848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 10315292848 in words is "ten billion, three hundred fifteen million, two hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1097 1423 1652 2194 2846 3304 4388 5692 6608 7679 8776 9961 11384 15358 17552 19922 22768 30716 39844 61432 64723 79688 83957 122864 129446 159376 167914 258892 335828 453061 517784 587699 671656 906122 1035568 1175398 1343312 1561031 1812244 2350796 3122062 3624488 4701592 6244124 7248976 9403184 10927217 12488248 21854434 24976496 43708868 87417736 92100829 174835472 184201658 368403316 644705803 736806632 1289411606 1473613264 2578823212 5157646424 10315292848