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42963744736924 = 2211171926311494529
BaseRepresentation
bin10011100010011010001101…
…01111100100011010011100
312122010021221020112002121021
421301031012233210122130
521112404222123040144
6231213134415413524
712023012434461304
oct1161150657443234
9178107836462537
1042963744736924
1112764904929010
12499a7b32242a4
131ac8604b0067b
14a876562ac604
154e78bb5ca884
hex271346be469c

42963744736924 has 96 divisors (see below), whose sum is σ = 91764971020800. Its totient is φ = 17346622095360.

The previous prime is 42963744736807. The next prime is 42963744736973.

42963744736924 is nontrivially palindromic in base 10.

42963744736924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2009509 + ... + 9485020.

It is an arithmetic number, because the mean of its divisors is an integer number (955885114800).

Almost surely, 242963744736924 is an apocalyptic number.

42963744736924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42963744736924 is an abundant number, since it is smaller than the sum of its proper divisors (48801226283876).

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

42963744736924 is a wasteful number, since it uses less digits than its factorization.

42963744736924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494843 (or 11494841 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 70.

The spelling of 42963744736924 in words is "forty-two trillion, nine hundred sixty-three billion, seven hundred forty-four million, seven hundred thirty-six thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 187 209 263 323 374 418 526 646 748 836 1052 1292 2893 3553 4471 4997 5786 7106 8942 9994 11572 14212 17884 19988 49181 54967 84949 98362 109934 169898 196724 219868 339796 934439 1868878 3737756 11494529 22989058 45978116 126439819 195406993 218396051 252879638 390813986 436792102 505759276 781627972 873584204 2149476923 2402356561 3023061127 3712732867 4298953846 4804713122 6046122254 7425465734 8597907692 9609426244 12092244508 14850931468 33253672397 40840061537 51392039159 57438161413 66507344794 81680123074 102784078318 114876322826 133014689588 163360246148 205568156636 229752645652 565312430749 631819775543 976448744021 1130624861498 1263639551086 1952897488042 2261249722996 2527279102172 3905794976084 10740936184231 21481872368462 42963744736924