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56746141680 = 2435320373819
BaseRepresentation
bin110100110110010101…
…010110011111110000
312102110201212200021010
4310312111112133300
51412204003013210
642022510430520
74046136150204
oct646625263760
9172421780233
1056746141680
112207a799158
12abb8202440
1354745b2037
142a64688b04
151721c66920
hexd365567f0

56746141680 has 80 divisors (see below), whose sum is σ = 175970344320. Its totient is φ = 15127375104.

The previous prime is 56746141667. The next prime is 56746141691. The reversal of 56746141680 is 8614164765.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 731811 + ... + 805629.

It is an arithmetic number, because the mean of its divisors is an integer number (2199629304).

Almost surely, 256746141680 is an apocalyptic number.

It is an amenable number.

56746141680 is an abundant number, since it is smaller than the sum of its proper divisors (119224202640).

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

56746141680 is a wasteful number, since it uses less digits than its factorization.

56746141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77038 (or 77032 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 56746141680 in words is "fifty-six billion, seven hundred forty-six million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3203 6406 9609 12812 16015 19218 25624 32030 38436 48045 51248 64060 73819 76872 96090 128120 147638 153744 192180 221457 256240 295276 369095 384360 442914 590552 738190 768720 885828 1107285 1181104 1476380 1771656 2214570 2952760 3543312 4429140 5905520 8858280 17716560 236442257 472884514 709326771 945769028 1182211285 1418653542 1891538056 2364422570 2837307084 3546633855 3783076112 4728845140 5674614168 7093267710 9457690280 11349228336 14186535420 18915380560 28373070840 56746141680