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10217036412 = 22341126910657
BaseRepresentation
bin10011000001111101…
…11001101001111100
3222101001011020010000
421200332321221330
5131411030131122
64405454314300
7511121243112
oct114076715174
928331136100
1010217036412
114373283750
121b917b8990
13c6a95ac9b
146cccdbab2
153ebe800ac
hex260fb9a7c

10217036412 has 120 divisors (see below), whose sum is σ = 29248536240. Its totient is φ = 3084272640.

The previous prime is 10217036407. The next prime is 10217036437. The reversal of 10217036412 is 21463071201.

10217036412 is a `hidden beast` number, since 1 + 0 + 2 + 17 + 0 + 3 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 953388 + ... + 964044.

It is an arithmetic number, because the mean of its divisors is an integer number (243737802).

Almost surely, 210217036412 is an apocalyptic number.

10217036412 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 10217036412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624268120).

10217036412 is an abundant number, since it is smaller than the sum of its proper divisors (19031499828).

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

10217036412 is a wasteful number, since it uses less digits than its factorization.

10217036412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10217036412 in words is "ten billion, two hundred seventeen million, thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 269 297 324 396 538 594 807 891 1076 1188 1614 1782 2421 2959 3228 3564 4842 5918 7263 8877 9684 10657 11836 14526 17754 21314 21789 26631 29052 31971 35508 42628 43578 53262 63942 79893 87156 95913 106524 117227 127884 159786 191826 234454 239679 287739 319572 351681 383652 468908 479358 575478 703362 863217 958716 1055043 1150956 1406724 1726434 2110086 2866733 3165129 3452868 4220172 5733466 6330258 8600199 9495387 11466932 12660516 17200398 18990774 25800597 31534063 34400796 37981548 51601194 63068126 77401791 94602189 103202388 126136252 154803582 189204378 232205373 283806567 309607164 378408756 464410746 567613134 851419701 928821492 1135226268 1702839402 2554259103 3405678804 5108518206 10217036412