Search a number
-
+
56492913120 = 2535716813367
BaseRepresentation
bin110100100111001111…
…010111000111100000
312101211002101022222120
4310213033113013200
51411144141204440
641541423104240
74036642560420
oct644717270740
9171732338876
1056492913120
1121a5a85a856
12ab47442080
135433cabc57
142a3cbac480
1517098e5dd0
hexd273d71e0

56492913120 has 96 divisors (see below), whose sum is σ = 203374499328. Its totient is φ = 12912665088.

The previous prime is 56492913119. The next prime is 56492913131. The reversal of 56492913120 is 2131929465.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8403324 + ... + 8410043.

It is an arithmetic number, because the mean of its divisors is an integer number (2118484368).

Almost surely, 256492913120 is an apocalyptic number.

It is an amenable number.

56492913120 is an abundant number, since it is smaller than the sum of its proper divisors (146881586208).

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

56492913120 is a wasteful number, since it uses less digits than its factorization.

56492913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813392 (or 16813384 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 56492913120 in words is "fifty-six billion, four hundred ninety-two million, nine hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 16813367 33626734 50440101 67253468 84066835 100880202 117693569 134506936 168133670 201760404 235387138 252200505 269013872 336267340 353080707 403520808 470774276 504401010 538027744 588467845 672534680 706161414 807041616 941548552 1008802020 1176935690 1345069360 1412322828 1614083232 1765403535 1883097104 2017604040 2353871380 2690138720 2824645656 3530807070 3766194208 4035208080 4707742760 5649291312 7061614140 8070416160 9415485520 11298582624 14123228280 18830971040 28246456560 56492913120