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1640253028876 = 2271124161193577
BaseRepresentation
bin10111110111100110101…
…100101111101000001100
312210210210001110012211121
4113313212230233220030
5203333214233411001
63253304414530324
7226334666463250
oct27674654575014
95723701405747
101640253028876
1158269a089900
12225a855069a4
13bb8a153b817
1459562722260
152ca003ec6a1
hex17de6b2fa0c

1640253028876 has 144 divisors (see below), whose sum is σ = 3754366330176. Its totient is φ = 613248768000.

The previous prime is 1640253028867. The next prime is 1640253028889. The reversal of 1640253028876 is 6788203520461.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8376600 + ... + 8570176.

It is an arithmetic number, because the mean of its divisors is an integer number (26071988404).

Almost surely, 21640253028876 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 1640253028876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877183165088).

1640253028876 is an abundant number, since it is smaller than the sum of its proper divisors (2114113301300).

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

1640253028876 is a wasteful number, since it uses less digits than its factorization.

1640253028876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193712 (or 193699 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 1640253028876 in words is "one trillion, six hundred forty billion, two hundred fifty-three million, twenty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 61 77 82 121 122 154 164 242 244 287 308 427 451 484 574 671 847 854 902 1148 1342 1694 1708 1804 2501 2684 3157 3388 4697 4961 5002 6314 7381 9394 9922 10004 12628 14762 17507 18788 19844 27511 29524 34727 35014 51667 55022 69454 70028 103334 110044 138908 192577 193577 206668 302621 385154 387154 605242 770308 774308 1210484 1355039 2118347 2129347 2710078 4236694 4258694 5420156 7936657 8473388 8517388 11808197 14905429 15873314 23422817 23616394 29810858 31746628 46845634 47232788 55556599 59621716 82657379 87303227 93691268 111113198 129890167 163959719 165314758 174606454 222226396 259780334 327919438 330629516 349212908 484136077 519560668 611122589 655838876 909231169 960335497 968272154 1222245178 1428791837 1818462338 1920670994 1936544308 2444490356 2857583674 3388952539 3636924676 3841341988 5325496847 5715167348 6722348479 6777905078 10001542859 10650993694 13444696958 13555810156 20003085718 21301987388 26889393916 37278477929 40006171436 58580465317 74556955858 117160930634 149113911716 234321861268 410063257219 820126514438 1640253028876