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645351113040 = 24353186740741
BaseRepresentation
bin10010110010000011110…
…11001000000101010000
32021200202121222022002120
421121001323020011100
541033134341104130
61212245322014240
764424254644324
oct11310173100520
92250677868076
10645351113040
11229767974007
12a50a6947380
1348b1952433a
14233413cd984
1511bc1514910
hex9641ec8150

645351113040 has 80 divisors (see below), whose sum is σ = 2065123585536. Its totient is φ = 166542220800.

The previous prime is 645351113027. The next prime is 645351113041. The reversal of 645351113040 is 40311153546.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 645351112992 and 645351113010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645351113041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43362931 + ... + 43377810.

Almost surely, 2645351113040 is an apocalyptic number.

645351113040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645351113040 is an abundant number, since it is smaller than the sum of its proper divisors (1419772472496).

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

645351113040 is a wasteful number, since it uses less digits than its factorization.

645351113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86740788 (or 86740782 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 645351113040 its reverse (40311153546), we get a palindrome (685662266586).

The spelling of 645351113040 in words is "six hundred forty-five billion, three hundred fifty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 86740741 173481482 260222223 346962964 433703705 520444446 693925928 867407410 1040888892 1301111115 1387851856 1734814820 2081777784 2602222230 2688962971 3469629640 4163555568 5204444460 5377925942 6939259280 8066888913 10408888920 10755851884 13444814855 16133777826 20817777840 21511703768 26889629710 32267555652 40334444565 43023407536 53779259420 64535111304 80668889130 107558518840 129070222608 161337778260 215117037680 322675556520 645351113040