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120730759864 = 231113267139511
BaseRepresentation
bin111000001110000011…
…1010011001010111000
3102112121221020001120121
41300130013103022320
53434224033303424
6131243555103024
711502551345431
oct1603407231270
9375557201517
10120730759864
11472244038a0
121b4945a1a74
13b500706560
145bb440a488
153219201ee4
hex1c1c1d32b8

120730759864 has 64 divisors (see below), whose sum is σ = 266051681280. Its totient is φ = 50636016000.

The previous prime is 120730759859. The next prime is 120730759867. The reversal of 120730759864 is 468957037021.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120730759867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035869 + ... + 3075379.

It is an arithmetic number, because the mean of its divisors is an integer number (4157057520).

It is a 1-persistent number, because it is pandigital, but 2⋅120730759864 = 241461519728 is not.

Almost surely, 2120730759864 is an apocalyptic number.

It is an amenable number.

120730759864 is an abundant number, since it is smaller than the sum of its proper divisors (145320921416).

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

120730759864 is a wasteful number, since it uses less digits than its factorization.

120730759864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42212 (or 42208 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 120730759864 in words is "one hundred twenty billion, seven hundred thirty million, seven hundred fifty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 2671 5342 10684 21368 29381 34723 39511 58762 69446 79022 117524 138892 158044 235048 277784 316088 381953 434621 513643 763906 869242 1027286 1527812 1738484 2054572 3055624 3476968 4109144 5650073 11300146 22600292 45200584 105533881 211067762 422135524 844271048 1160872691 1371940453 2321745382 2743880906 4643490764 5487761812 9286981528 10975523624 15091344983 30182689966 60365379932 120730759864