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10152527152 = 242347678761
BaseRepresentation
bin10010111010010001…
…10100010100110000
3222012112202211001011
421131020310110300
5131243021332102
64355231520304
7506406025345
oct113510642460
928175684034
1010152527152
11433a922a09
121b74089094
13c5a492721
146c45087cc
153e648b2d7
hex25d234530

10152527152 has 80 divisors (see below), whose sum is σ = 21277780992. Its totient is φ = 4680783360.

The previous prime is 10152527141. The next prime is 10152527153. The reversal of 10152527152 is 25172525101.

It is a happy number.

It is a super-2 number, since 2×101525271522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10152527153) 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, 1154452 + ... + 1163212.

Almost surely, 210152527152 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 10152527152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638890496).

10152527152 is an abundant number, since it is smaller than the sum of its proper divisors (11125253840).

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

10152527152 is a wasteful number, since it uses less digits than its factorization.

10152527152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 10152527152 in words is "ten billion, one hundred fifty-two million, five hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 47 67 92 94 134 184 188 268 368 376 536 752 1072 1081 1541 2162 3082 3149 4324 6164 6298 8648 8761 12328 12596 17296 17522 24656 25192 35044 50384 70088 72427 140176 144854 201503 289708 403006 411767 579416 586987 806012 823534 1158832 1173974 1612024 1647068 2347948 3224048 3294136 4695896 6588272 9391792 9470641 13500701 18941282 27001402 27588389 37882564 54002804 55176778 75765128 108005608 110353556 151530256 216011216 220707112 441414224 634532947 1269065894 2538131788 5076263576 10152527152