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103964552916 = 22378950327647
BaseRepresentation
bin110000011010011000…
…1010010111011010100
3100221100110122111102220
41200310301102323110
53200404411143131
6115432145102340
710340224055550
oct1406461227324
9327313574386
10103964552916
1140100309414
12181956279b0
139a5ac9ca43
1450637c8860
152a8730be96
hex1834c52ed4

103964552916 has 96 divisors (see below), whose sum is σ = 280921374720. Its totient is φ = 29310952704.

The previous prime is 103964552903. The next prime is 103964552917. The reversal of 103964552916 is 619255469301.

It is a super-4 number, since 4×1039645529164 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103964552917) 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 31 ways as a sum of consecutive naturals, for example, 3746605 + ... + 3774251.

It is an arithmetic number, because the mean of its divisors is an integer number (2926264320).

Almost surely, 2103964552916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103964552916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140460687360).

103964552916 is an abundant number, since it is smaller than the sum of its proper divisors (176956821804).

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

103964552916 is a wasteful number, since it uses less digits than its factorization.

103964552916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28253 (or 28251 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 103964552916 in words is "one hundred three billion, nine hundred sixty-four million, five hundred fifty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 503 534 623 1006 1068 1246 1509 1869 2012 2492 3018 3521 3738 6036 7042 7476 10563 14084 21126 27647 42252 44767 55294 82941 89534 110588 134301 165882 179068 193529 268602 313369 331764 387058 537204 580587 626738 774116 940107 1161174 1253476 1880214 2322348 2460583 3760428 4921166 7381749 9842332 13906441 14763498 17224081 27812882 29526996 34448162 41719323 51672243 55625764 68896324 83438646 97345087 103344486 166877292 194690174 206688972 292035261 389380348 584070522 1168141044 1237673249 2475346498 3713019747 4950692996 7426039494 8663712743 14852078988 17327425486 25991138229 34654850972 51982276458 103964552916