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640541065032 = 2332111304961979
BaseRepresentation
bin10010101001000110011…
…10001111111101001000
32021020100102000112200100
421110203032033331020
540443312003040112
61210132134005400
764164130134621
oct11244316177510
92236312015610
10640541065032
11227719806820
12a4183aa6860
1348530b4239b
1423006656a48
15119de0d02dc
hex952338ff48

640541065032 has 96 divisors (see below), whose sum is σ = 1892683260000. Its totient is φ = 194085346560.

The previous prime is 640541064979. The next prime is 640541065037. The reversal of 640541065032 is 230560145046.

640541065032 is a `hidden beast` number, since 6 + 40 + 5 + 4 + 106 + 503 + 2 = 666.

640541065032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6405410650322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (640541065037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10303819 + ... + 10365797.

It is an arithmetic number, because the mean of its divisors is an integer number (19715450625).

Almost surely, 2640541065032 is an apocalyptic number.

It is an amenable number.

640541065032 is an abundant number, since it is smaller than the sum of its proper divisors (1252142194968).

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

640541065032 is a wasteful number, since it uses less digits than its factorization.

640541065032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75051 (or 75044 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 640541065032 in words is "six hundred forty billion, five hundred forty-one million, sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 13049 26098 39147 52196 61979 78294 104392 117441 123958 143539 156588 185937 234882 247916 287078 313176 371874 430617 469764 495832 557811 574156 681769 743748 861234 939528 1115622 1148312 1291851 1363538 1487496 1722468 2045307 2231244 2583702 2727076 3444936 4090614 4462488 5167404 5454152 6135921 8181228 10334808 12271842 16362456 24543684 49087368 808763971 1617527942 2426291913 3235055884 4852583826 6470111768 7278875739 8896403681 9705167652 14557751478 17792807362 19410335304 26689211043 29115502956 35585614724 53378422086 58231005912 71171229448 80067633129 106756844172 160135266258 213513688344 320270532516 640541065032