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56508917341440 = 283514715863891
BaseRepresentation
bin11001101100101000000011…
…11100011101110100000000
321102002012101121110102001210
430312110001330131310000
524401320230314411230
6320103501021130120
714621430436104654
oct1466240174356400
9242065347412053
1056508917341440
111700732a722603
1264079820b9940
13256b9ca4cc625
14dd5090a76a64
1567edd752aeb0
hex336501f1dd00

56508917341440 has 72 divisors (see below), whose sum is σ = 180475354771488. Its totient is φ = 15069044623360.

The previous prime is 56508917341427. The next prime is 56508917341441. The reversal of 56508917341440 is 4414371980565.

56508917341440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56508917341441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7357928106 + ... + 7357935785.

It is an arithmetic number, because the mean of its divisors is an integer number (2506602149604).

Almost surely, 256508917341440 is an apocalyptic number.

It is an amenable number.

56508917341440 is an abundant number, since it is smaller than the sum of its proper divisors (123966437430048).

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

56508917341440 is a wasteful number, since it uses less digits than its factorization.

56508917341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715863915 (or 14715863901 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 56508917341440 in words is "fifty-six trillion, five hundred eight billion, nine hundred seventeen million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14715863891 29431727782 44147591673 58863455564 73579319455 88295183346 117726911128 147158638910 176590366692 220737958365 235453822256 294317277820 353180733384 441475916730 470907644512 588634555640 706361466768 882951833460 941815289024 1177269111280 1412722933536 1765903666920 1883630578048 2354538222560 2825445867072 3531807333840 3767261156096 4709076445120 5650891734144 7063614667680 9418152890240 11301783468288 14127229335360 18836305780480 28254458670720 56508917341440