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10151355344 = 24132910316339
BaseRepresentation
bin10010111010001000…
…10110001111010000
3222012110120021121212
421131010112033100
5131242221332334
64355150435252
7506363045114
oct113504261720
928173507555
1010151355344
11433a1a2579
121b73802b28
13c5a172250
146c42c1744
153e6308ece
hex25d1163d0

10151355344 has 80 divisors (see below), whose sum is σ = 22125667200. Its totient is φ = 4479487488.

The previous prime is 10151355323. The next prime is 10151355349. The reversal of 10151355344 is 44355315101.

It is a self number, because there is not a number n which added to its sum of digits gives 10151355344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151355349) 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, 613127 + ... + 629465.

It is an arithmetic number, because the mean of its divisors is an integer number (276570840).

Almost surely, 210151355344 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 10151355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062833600).

10151355344 is an abundant number, since it is smaller than the sum of its proper divisors (11974311856).

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

10151355344 is a wasteful number, since it uses less digits than its factorization.

10151355344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16486 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 10151355344 in words is "ten billion, one hundred fifty-one million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 103 104 116 206 208 232 377 412 464 754 824 1339 1508 1648 2678 2987 3016 5356 5974 6032 10712 11948 16339 21424 23896 32678 38831 47792 65356 77662 130712 155324 212407 261424 310648 424814 473831 621296 849628 947662 1682917 1699256 1895324 3365834 3398512 3790648 6159803 6731668 7581296 12319606 13463336 21877921 24639212 26926672 43755842 48804593 49278424 87511684 97609186 98556848 175023368 195218372 350046736 390436744 634459709 780873488 1268919418 2537838836 5075677672 10151355344