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42654045624 = 2333798775347
BaseRepresentation
bin100111101110011000…
…010001010110111000
311002002122010000122120
4213232120101112320
51144323413424444
631332304121240
73040002256101
oct475630212670
9132078100576
1042654045624
11170a9107883
128324906220
134039b99168
1420c8c7b3a8
1511999e0b19
hex9ee6115b8

42654045624 has 64 divisors (see below), whose sum is σ = 107058403200. Its totient is φ = 14161682304.

The previous prime is 42654045601. The next prime is 42654045631.

42654045624 is nontrivially palindromic in base 10.

42654045624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7974519 + ... + 7979865.

It is an arithmetic number, because the mean of its divisors is an integer number (1672787550).

Almost surely, 242654045624 is an apocalyptic number.

It is an amenable number.

42654045624 is an abundant number, since it is smaller than the sum of its proper divisors (64404357576).

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

42654045624 is a wasteful number, since it uses less digits than its factorization.

42654045624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 42654045624 in words is "forty-two billion, six hundred fifty-four million, forty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 379 758 877 1137 1516 1754 2274 2631 3032 3508 4548 5262 5347 7016 9096 10524 10694 16041 21048 21388 32082 42776 64164 128328 332383 664766 997149 1329532 1994298 2026513 2659064 3988596 4053026 4689319 6079539 7977192 8106052 9378638 12159078 14067957 16212104 18757276 24318156 28135914 37514552 48636312 56271828 112543656 1777251901 3554503802 5331755703 7109007604 10663511406 14218015208 21327022812 42654045624