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54961919051832 = 23321324516922999
BaseRepresentation
bin11000111111100110100011…
…01010010100100000111000
321012121022022122020210021100
430133303101222110200320
524200444002234124312
6312521053531011400
714401603406441622
oct1437632152244070
9235538278223240
1054961919051832
11165702454a5661
1261b7ba3599b60
132488b6b1a9200
14d80257609c12
15654a440bc5dc
hex31fcd1a94838

54961919051832 has 72 divisors (see below), whose sum is σ = 161186397255000. Its totient is φ = 16911359704512.

The previous prime is 54961919051791. The next prime is 54961919051869. The reversal of 54961919051832 is 23815091916945.

54961919051832 is a `hidden beast` number, since 5 + 4 + 9 + 619 + 1 + 9 + 0 + 5 + 1 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54961919051832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2258449332 + ... + 2258473667.

It is an arithmetic number, because the mean of its divisors is an integer number (2238699961875).

Almost surely, 254961919051832 is an apocalyptic number.

54961919051832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54961919051832 is an abundant number, since it is smaller than the sum of its proper divisors (106224478203168).

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

54961919051832 is a wasteful number, since it uses less digits than its factorization.

54961919051832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516923037 (or 4516923017 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 54961919051832 in words is "fifty-four trillion, nine hundred sixty-one billion, nine hundred nineteen million, fifty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 4516922999 9033845998 13550768997 18067691996 27101537994 36135383992 40652306991 54203075988 58719998987 81304613982 108406151976 117439997974 162609227964 176159996961 234879995948 325218455928 352319993922 469759991896 528479990883 704639987844 763359986831 1056959981766 1409279975688 1526719973662 2113919963532 2290079960493 3053439947324 4227839927064 4580159920986 6106879894648 6870239881479 9160319841972 13740479762958 18320639683944 27480959525916 54961919051832