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42926862924 = 223311283127681
BaseRepresentation
bin100111111110101000…
…111111001001001100
311002210122110120122000
4213332220333021030
51200403234103144
631415331352300
73046524212601
oct477650771114
9132718416560
1042926862924
1117229105520
1283a0152690
13408156a40a
1421131b66a8
1511b3930769
hex9fea3f24c

42926862924 has 96 divisors (see below), whose sum is σ = 121839271680. Its totient is φ = 12962073600.

The previous prime is 42926862919. The next prime is 42926862929.

42926862924 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 6 + 8 + 629 + 2 + 4 = 666.

42926862924 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42926862919) and next prime (42926862929).

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

It is not an unprimeable number, because it can be changed into a prime (42926862929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272364 + ... + 400044.

It is an arithmetic number, because the mean of its divisors is an integer number (1269159080).

Almost surely, 242926862924 is an apocalyptic number.

42926862924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42926862924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60919635840).

42926862924 is an abundant number, since it is smaller than the sum of its proper divisors (78912408756).

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

42926862924 is a wasteful number, since it uses less digits than its factorization.

42926862924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127988 (or 127980 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 42926862924 in words is "forty-two billion, nine hundred twenty-six million, eight hundred sixty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 283 297 396 566 594 849 1132 1188 1698 2547 3113 3396 5094 6226 7641 9339 10188 12452 15282 18678 28017 30564 37356 56034 84051 112068 127681 168102 255362 336204 383043 510724 766086 1149129 1404491 1532172 2298258 2808982 3447387 4213473 4596516 5617964 6894774 8426946 12640419 13789548 16853892 25280838 36133723 37921257 50561676 72267446 75842514 108401169 144534892 151685028 216802338 325203507 397470953 433604676 650407014 794941906 975610521 1192412859 1300814028 1589883812 1951221042 2384825718 3577238577 3902442084 4769651436 7154477154 10731715731 14308954308 21463431462 42926862924