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10587004092 = 22327241146383
BaseRepresentation
bin10011101110000100…
…01101110010111100
31000022211022112100200
421313002031302330
5133140233112332
64510312123500
7523233023100
oct116702156274
930284275320
1010587004092
1145430a6965
122075696590
13cc94b5982
147260c5900
1541e6b017c
hex27708dcbc

10587004092 has 108 divisors (see below), whose sum is σ = 31890339936. Its totient is φ = 2951061120.

The previous prime is 10587004081. The next prime is 10587004093. The reversal of 10587004092 is 29040078501.

It is a super-2 number, since 2×105870040922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10587004093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 868 + ... + 145515.

Almost surely, 210587004092 is an apocalyptic number.

10587004092 is a gapful number since it is divisible by the number (12) 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 10587004092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945169968).

10587004092 is an abundant number, since it is smaller than the sum of its proper divisors (21303335844).

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

10587004092 is a wasteful number, since it uses less digits than its factorization.

10587004092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146448 (or 146436 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10587004092 in words is "ten billion, five hundred eighty-seven million, four thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1476 1722 1764 2009 2583 3444 4018 5166 6027 8036 10332 12054 18081 24108 36162 72324 146383 292766 439149 585532 878298 1024681 1317447 1756596 2049362 2634894 3074043 4098724 5269788 6001703 6148086 7172767 9222129 12003406 12296172 14345534 18005109 18444258 21518301 24006812 28691068 36010218 36888516 42011921 43036602 54015327 64554903 72020436 84023842 86073204 108030654 126035763 129109806 168047684 216061308 252071526 258219612 294083447 378107289 504143052 588166894 756214578 882250341 1176333788 1512429156 1764500682 2646751023 3529001364 5293502046 10587004092