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645624101034 = 234111369326459
BaseRepresentation
bin10010110010100100011…
…00011111100010101010
32021201110122122112020000
421121102030133202222
541034214232213114
61212332353043430
764434111211563
oct11312214374252
92251418575200
10645624101034
11229897a78a20
12a5162256576
1348b60c551b3
142336977116a
1511bda489e09
hex965231f8aa

645624101034 has 80 divisors (see below), whose sum is σ = 1578367153440. Its totient is φ = 195621985440.

The previous prime is 645624101033. The next prime is 645624101107. The reversal of 645624101034 is 430101426546.

645624101034 is a `hidden beast` number, since 6 + 4 + 5 + 624 + 10 + 10 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 645624101034.

It is not an unprimeable number, because it can be changed into a prime (645624101033) by changing a digit.

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, 24387697 + ... + 24414155.

It is an arithmetic number, because the mean of its divisors is an integer number (19729589418).

Almost surely, 2645624101034 is an apocalyptic number.

645624101034 is an abundant number, since it is smaller than the sum of its proper divisors (932743052406).

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

645624101034 is a wasteful number, since it uses less digits than its factorization.

645624101034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40177 (or 40168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 645624101034 in words is "six hundred forty-five billion, six hundred twenty-four million, one hundred one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 13693 26459 27386 41079 52918 79377 82158 123237 150623 158754 238131 246474 291049 301246 369711 451869 476262 582098 714393 739422 873147 903738 1109133 1355607 1428786 1746294 2143179 2218266 2619441 2711214 4066821 4286358 5238882 7858323 8133642 12200463 15716646 23574969 24400926 47149938 362303087 724606174 1086909261 2173818522 3260727783 3985333957 6521455566 7970667914 9782183349 11956001871 19564366698 23912003742 29346550047 35868005613 58693100094 71736011226 107604016839 215208033678 322812050517 645624101034