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645246321632 = 251131145940529
BaseRepresentation
bin10010110001110111010…
…11011000001111100000
32021200111022210100022022
421120323223120033200
541032431024243012
61212231100001012
764421543145113
oct11307353301740
92250438710268
10645246321632
112297137aa740
12a5077830168
1348b008c39a3
142333151257a
1511bb7215472
hex963bad83e0

645246321632 has 96 divisors (see below), whose sum is σ = 1431532569600. Its totient is φ = 283631155200.

The previous prime is 645246321617. The next prime is 645246321653. The reversal of 645246321632 is 236123642546.

645246321632 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 2×6452463216322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15900344 + ... + 15940872.

It is an arithmetic number, because the mean of its divisors is an integer number (14911797600).

Almost surely, 2645246321632 is an apocalyptic number.

645246321632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645246321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715766284800).

645246321632 is an abundant number, since it is smaller than the sum of its proper divisors (786286247968).

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

645246321632 is a wasteful number, since it uses less digits than its factorization.

645246321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42040 (or 42032 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 645246321632 in words is "six hundred forty-five billion, two hundred forty-six million, three hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 1459 2728 2918 5456 5836 10912 11672 16049 23344 32098 40529 45229 46688 64196 81058 90458 128392 162116 180916 256784 324232 361832 445819 497519 513568 648464 723664 891638 995038 1256399 1296928 1447328 1783276 1990076 2512798 3566552 3980152 5025596 7133104 7960304 10051192 13820389 14266208 15920608 20102384 27640778 40204768 55281556 59131811 110563112 118263622 221126224 236527244 442252448 473054488 650449921 946108976 1300899842 1833086141 1892217952 2601799684 3666172282 5203599368 7332344564 10407198736 14664689128 20163947551 20814397472 29329378256 40327895102 58658756512 80655790204 161311580408 322623160816 645246321632