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640105026144 = 253171777220721
BaseRepresentation
bin10010101000010010011…
…10111001001001100000
32021012020000112110202220
421110021032321021200
540441413341314034
61210021000111040
764150253643333
oct11241116711140
92235200473686
10640105026144
11227515666301
12a4081a65480
13484916c31cc
1422da479061a
15119b5b9d749
hex95093b9260

640105026144 has 96 divisors (see below), whose sum is σ = 1780124695776. Its totient is φ = 200703344640.

The previous prime is 640105026139. The next prime is 640105026149. The reversal of 640105026144 is 441620501046.

It is an interprime number because it is at equal distance from previous prime (640105026139) and next prime (640105026149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640105026149) 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, 2789704 + ... + 3010424.

It is an arithmetic number, because the mean of its divisors is an integer number (18542965581).

Almost surely, 2640105026144 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 640105026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890062347888).

640105026144 is an abundant number, since it is smaller than the sum of its proper divisors (1140019669632).

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

640105026144 is a wasteful number, since it uses less digits than its factorization.

640105026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222528 (or 222520 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 640105026144 in words is "six hundred forty billion, one hundred five million, twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1777 3554 5331 7108 10662 14216 21324 28432 30209 42648 56864 60418 85296 90627 120836 170592 181254 220721 241672 362508 441442 483344 662163 725016 882884 966688 1324326 1450032 1765768 2648652 2900064 3531536 3752257 5297304 7063072 7504514 10594608 11256771 15009028 21189216 22513542 30018056 45027084 60036112 90054168 120072224 180108336 360216672 392221217 784442434 1176663651 1568884868 2353327302 3137769736 4706654604 6275539472 6667760689 9413309208 12551078944 13335521378 18826618416 20003282067 26671042756 37653236832 40006564134 53342085512 80013128268 106684171024 160026256536 213368342048 320052513072 640105026144