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10240015188 = 22313294155207
BaseRepresentation
bin10011000100101101…
…00011101101010100
3222102122101200001210
421202112203231110
5131432420441223
64412035021420
7511520456454
oct114226435524
928378350053
1010240015188
114385248a77
121b9943a870
13c726451b0
146d1d9dd64
153edebd893
hex2625a3b54

10240015188 has 96 divisors (see below), whose sum is σ = 27268335360. Its totient is φ = 2967874560.

The previous prime is 10240015187. The next prime is 10240015193. The reversal of 10240015188 is 88151004201.

It is a happy number.

It is a super-2 number, since 2×102400151882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240015183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157881 + ... + 213087.

It is an arithmetic number, because the mean of its divisors is an integer number (284045160).

Almost surely, 210240015188 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 10240015188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634167680).

10240015188 is an abundant number, since it is smaller than the sum of its proper divisors (17028320172).

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

10240015188 is a wasteful number, since it uses less digits than its factorization.

10240015188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55297 (or 55295 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

Adding to 10240015188 its reverse (88151004201), we get a palindrome (98391019389).

The spelling of 10240015188 in words is "ten billion, two hundred forty million, fifteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 41 52 58 78 82 87 116 123 156 164 174 246 348 377 492 533 754 1066 1131 1189 1508 1599 2132 2262 2378 3198 3567 4524 4756 6396 7134 14268 15457 30914 46371 55207 61828 92742 110414 165621 185484 220828 331242 662484 717691 1435382 1601003 2153073 2263487 2870764 3202006 4306146 4526974 4803009 6404012 6790461 8612292 9053948 9606018 13580922 19212036 20813039 27161844 29425331 41626078 58850662 62439117 65641123 83252156 88275993 117701324 124878234 131282246 176551986 196923369 249756468 262564492 353103972 393846738 787693476 853334599 1706669198 2560003797 3413338396 5120007594 10240015188