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42293613024 = 2533133765457
BaseRepresentation
bin100111011000111001…
…010101000111100000
311001011111220011002000
4213120321111013200
51143104131104044
631232430524000
73025034531145
oct473071250740
9131144804060
1042293613024
1116a337074a3
128244066600
133cb02cc530
1420930563cc
151178045d69
hex9d8e551e0

42293613024 has 96 divisors (see below), whose sum is σ = 132845358240. Its totient is φ = 13013415936.

The previous prime is 42293613023. The next prime is 42293613031. The reversal of 42293613024 is 42031639224.

42293613024 is a `hidden beast` number, since 4 + 2 + 293 + 61 + 302 + 4 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42293613024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42293613023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871497 + ... + 1893960.

It is an arithmetic number, because the mean of its divisors is an integer number (1383805815).

Almost surely, 242293613024 is an apocalyptic number.

It is an amenable number.

42293613024 is an abundant number, since it is smaller than the sum of its proper divisors (90551745216).

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

42293613024 is a wasteful number, since it uses less digits than its factorization.

42293613024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765489 (or 3765475 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 42293613024 in words is "forty-two billion, two hundred ninety-three million, six hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 3765457 7530914 11296371 15061828 22592742 30123656 33889113 45185484 48950941 60247312 67778226 90370968 97901882 101667339 120494624 135556452 146852823 180741936 195803764 203334678 271112904 293705646 361483872 391607528 406669356 440558469 542225808 587411292 783215056 813338712 881116938 1084451616 1174822584 1321675407 1566430112 1626677424 1762233876 2349645168 2643350814 3253354848 3524467752 4699290336 5286701628 7048935504 10573403256 14097871008 21146806512 42293613024