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645426415152 = 243261322073313
BaseRepresentation
bin10010110010001100110…
…10011000011000110000
32021200221212200001011200
421121012122120120300
541033313130241102
61212301012011200
764426161003111
oct11310632303060
92250855601150
10645426415152
112297a6426662
12a5108000b00
1348b2bccb2bc
142334b3d2208
1511bc7e3b51c
hex9646698630

645426415152 has 120 divisors (see below), whose sum is σ = 1810610315904. Its totient is φ = 214629046272.

The previous prime is 645426415129. The next prime is 645426415157. The reversal of 645426415152 is 251514624546.

645426415152 is a `hidden beast` number, since 6 + 4 + 542 + 6 + 4 + 1 + 51 + 52 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 645426415098 and 645426415107.

It is not an unprimeable number, because it can be changed into a prime (645426415157) 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, 194814648 + ... + 194817960.

Almost surely, 2645426415152 is an apocalyptic number.

It is an amenable number.

645426415152 is an abundant number, since it is smaller than the sum of its proper divisors (1165183900752).

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

645426415152 is a wasteful number, since it uses less digits than its factorization.

645426415152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6138 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 645426415152 in words is "six hundred forty-five billion, four hundred twenty-six million, four hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 613 1226 1839 2207 2452 3313 3678 4414 4904 5517 6621 6626 7356 8828 9808 9939 11034 13242 13252 14712 17656 19863 19878 22068 26484 26504 29424 29817 35312 39726 39756 44136 52968 53008 59634 79452 79512 88272 105936 119268 158904 159024 238536 317808 477072 1352891 2030869 2705782 4058673 4061738 5411564 6092607 7311791 8117346 8123476 10823128 12176019 12185214 14623582 16234692 16246952 18277821 21646256 21935373 24352038 24370428 29247164 32469384 32493904 36555642 43870746 48704076 48740856 58494328 64938768 65806119 73111284 87741492 97408152 97481712 116988656 131612238 146222568 175482984 194816304 263224476 292445136 350965968 526448952 1052897904 4482127883 8964255766 13446383649 17928511532 26892767298 35857023064 40339150947 53785534596 71714046128 80678301894 107571069192 161356603788 215142138384 322713207576 645426415152