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3640357108146 = 23111971127321947
BaseRepresentation
bin110100111110010110001…
…100010011100110110010
3110220000101202010211201110
4310332112030103212302
5434120422404430041
611424205034414150
7524002304603403
oct64762614234662
913800352124643
103640357108146
111183959757a10
124a9638291356
13205390514355
14c82a0d459aa
1564a625d8516
hex34f963139b2

3640357108146 has 128 divisors (see below), whose sum is σ = 8545169571840. Its totient is φ = 1022242939200.

The previous prime is 3640357108121. The next prime is 3640357108153. The reversal of 3640357108146 is 6418017530463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3640357108095 and 3640357108104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11146345 + ... + 11468291.

It is an arithmetic number, because the mean of its divisors is an integer number (66759137280).

Almost surely, 23640357108146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640357108146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272584785920).

3640357108146 is an abundant number, since it is smaller than the sum of its proper divisors (4904812463694).

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

3640357108146 is a wasteful number, since it uses less digits than its factorization.

3640357108146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322180.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3640357108146 in words is "three trillion, six hundred forty billion, three hundred fifty-seven million, one hundred eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 127 142 209 213 254 381 418 426 627 762 781 1254 1349 1397 1562 2343 2413 2698 2794 4047 4191 4686 4826 7239 8094 8382 9017 14478 14839 18034 26543 27051 29678 44517 53086 54102 79629 89034 99187 159258 171323 198374 297561 321947 342646 513969 595122 643894 965841 1027938 1884553 1931682 3541417 3769106 5653659 6116993 7082834 10624251 11307318 12233986 18350979 21248502 22858237 36701958 40887269 45716474 67286923 68574711 81774538 122661807 134573846 137149422 201860769 245323614 251440607 403721538 434306503 449759959 502881214 754321821 776858111 868613006 899519918 1302919509 1349279877 1508643642 1553716222 2330574333 2605839018 2698559754 2902996099 4661148666 4777371533 5805992198 8545439221 8708988297 9554743066 14332114599 17090878442 17417976594 25636317663 28664229198 31932957089 51272635326 55156925881 63865914178 95798871267 110313851762 165470777643 191597742534 330941555286 606726184691 1213452369382 1820178554073 3640357108146