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42193712544 = 2532771586707
BaseRepresentation
bin100111010010111100…
…001111010110100000
311000220112220200101020
4213102330033112200
51142403042300134
631214501405440
73022412432124
oct472274172640
9130815820336
1042193712544
1116992283815
128216709880
133c956c2119
142083a8d584
15116e3b0b49
hex9d2f0f5a0

42193712544 has 48 divisors (see below), whose sum is σ = 111158415648. Its totient is φ = 14013787392.

The previous prime is 42193712503. The next prime is 42193712549. The reversal of 42193712544 is 44521739124.

42193712544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 42193712496 and 42193712505.

It is not an unprimeable number, because it can be changed into a prime (42193712549) 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, 766762 + ... + 819945.

It is an arithmetic number, because the mean of its divisors is an integer number (2315800326).

Almost surely, 242193712544 is an apocalyptic number.

It is an amenable number.

42193712544 is an abundant number, since it is smaller than the sum of its proper divisors (68964703104).

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

42193712544 is a wasteful number, since it uses less digits than its factorization.

42193712544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586997 (or 1586989 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 42193712544 in words is "forty-two billion, one hundred ninety-three million, seven hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 26592 1586707 3173414 4760121 6346828 9520242 12693656 19040484 25387312 38080968 50774624 76161936 152323872 439517839 879035678 1318553517 1758071356 2637107034 3516142712 5274214068 7032285424 10548428136 14064570848 21096856272 42193712544