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10151315416 = 2311431267647
BaseRepresentation
bin10010111010001000…
…01100011111011000
3222012110111020212001
421131010030133120
5131242214043131
64355145530344
7506362520524
oct113504143730
928173436761
1010151315416
11433a175580
121b737a39b4
13c5a15a018
146c42b0d84
153e62ec261
hex25d10c7d8

10151315416 has 32 divisors (see below), whose sum is σ = 20812308480. Its totient is φ = 4603511200.

The previous prime is 10151315407. The next prime is 10151315453. The reversal of 10151315416 is 61451315101.

It is a super-3 number, since 3×101513154163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95896 + ... + 171751.

It is an arithmetic number, because the mean of its divisors is an integer number (650384640).

Almost surely, 210151315416 is an apocalyptic number.

It is an amenable number.

10151315416 is an abundant number, since it is smaller than the sum of its proper divisors (10660993064).

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

10151315416 is a wasteful number, since it uses less digits than its factorization.

10151315416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268095 (or 268091 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 10151315416 in words is "ten billion, one hundred fifty-one million, three hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 431 862 1724 3448 4741 9482 18964 37928 267647 535294 1070588 2141176 2944117 5888234 11776468 23552936 115355857 230711714 461423428 922846856 1268914427 2537828854 5075657708 10151315416