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42929292924 = 2233756784779
BaseRepresentation
bin100111111110110010…
…010000011001111100
311002210211001000222000
4213332302100121330
51200404344333144
631415455422300
73046553653260
oct477662203174
9132724030860
1042929292924
111722a515191
1283a0b24990
134081c0b49b
14211364a0a0
1511b3c60769
hex9fec9067c

42929292924 has 48 divisors (see below), whose sum is σ = 127197907200. Its totient is φ = 12265512048.

The previous prime is 42929292899. The next prime is 42929292937.

It is a happy number.

42929292924 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 28391634 + ... + 28393145.

It is an arithmetic number, because the mean of its divisors is an integer number (2649956400).

Almost surely, 242929292924 is an apocalyptic number.

It is an amenable number.

42929292924 is an abundant number, since it is smaller than the sum of its proper divisors (84268614276).

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

42929292924 is a wasteful number, since it uses less digits than its factorization.

42929292924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56784799 (or 56784791 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 42929292924 in words is "forty-two billion, nine hundred twenty-nine million, two hundred ninety-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 56784779 113569558 170354337 227139116 340708674 397493453 511063011 681417348 794986906 1022126022 1192480359 1533189033 1589973812 2044252044 2384960718 3066378066 3577441077 4769921436 6132756132 7154882154 10732323231 14309764308 21464646462 42929292924