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56960431061120 = 275379832447023
BaseRepresentation
bin11001111001110001000100…
…10000100111100010000000
321110200100211101011212201022
430330320202100213202000
524431214430322423440
6321051132155125012
714666153403310436
oct1474704220474200
9243610741155638
1056960431061120
1117170868418a54
12647b391143768
1325a24653945b2
14100cc84600d56
1568ba11623cb5
hex33ce22427880

56960431061120 has 128 divisors (see below), whose sum is σ = 139993655754240. Its totient is φ = 22145823166464.

The previous prime is 56960431060987. The next prime is 56960431061197. The reversal of 56960431061120 is 2116013406965.

It is a tau number, because it is divible by the number of its divisors (128).

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, 22053929 + ... + 24500951.

It is an arithmetic number, because the mean of its divisors is an integer number (1093700435580).

Almost surely, 256960431061120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56960431061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69996827877120).

56960431061120 is an abundant number, since it is smaller than the sum of its proper divisors (83033224693120).

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

56960431061120 is a wasteful number, since it uses less digits than its factorization.

56960431061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448062 (or 2448050 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 56960431061120 in words is "fifty-six trillion, nine hundred sixty billion, four hundred thirty-one million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 983 1184 1480 1966 2368 2960 3932 4736 4915 5920 7864 9830 11840 15728 19660 23680 31456 36371 39320 62912 72742 78640 125824 145484 157280 181855 290968 314560 363710 581936 629120 727420 1163872 1454840 2327744 2447023 2909680 4655488 4894046 5819360 9788092 11638720 12235115 19576184 23277440 24470230 39152368 48940460 78304736 90539851 97880920 156609472 181079702 195761840 313218944 362159404 391523680 452699255 724318808 783047360 905398510 1448637616 1566094720 1810797020 2405423609 2897275232 3621594040 4810847218 5794550464 7243188080 9621694436 11589100928 12027118045 14486376160 19243388872 24054236090 28972752320 38486777744 48108472180 57945504640 76973555488 89000673533 96216944360 153947110976 178001347066 192433888720 307894221952 356002694132 384867777440 445003367665 712005388264 769735554880 890006735330 1424010776528 1539471109760 1780013470660 2848021553056 3560026941320 5696043106112 7120053882640 11392086212224 14240107765280 28480215530560 56960431061120