Search a number
-
+
54677205826068 = 22377126713343199
BaseRepresentation
bin11000110111010100001110…
…11011100011101000010100
321011121002102111002100111210
430123222013123203220110
524131312404142413233
6312142210034301420
714342204063112210
oct1433520733435024
9234532374070453
1054677205826068
1116470522291081
126170985727870
132468066443557
14d7056881b940
1564c42d9bd163
hex31ba876e3a14

54677205826068 has 96 divisors (see below), whose sum is σ = 147865452134400. Its totient is φ = 15401408359680.

The previous prime is 54677205825941. The next prime is 54677205826169. The reversal of 54677205826068 is 86062850277645.

54677205826068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 159144733 + ... + 159487931.

It is an arithmetic number, because the mean of its divisors is an integer number (1540265126400).

Almost surely, 254677205826068 is an apocalyptic number.

It is an amenable number.

54677205826068 is an abundant number, since it is smaller than the sum of its proper divisors (93188246308332).

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

54677205826068 is a wasteful number, since it uses less digits than its factorization.

54677205826068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369997 (or 369995 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 54677205826068 in words is "fifty-four trillion, six hundred seventy-seven billion, two hundred five million, eight hundred twenty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 26713 53426 80139 106852 160278 186991 320556 343199 373982 560973 686398 747964 1029597 1121946 1372796 1896623 2059194 2243892 2402393 3793246 4118388 4804786 5689869 7207179 7586492 9609572 11379738 13276361 14414358 22759476 24367129 26552722 28828716 39829083 48734258 53105444 73101387 79658166 97468516 146202774 159316332 170569903 292405548 341139806 511709709 682279612 1023419418 2046838836 9167874887 18335749774 27503624661 36671499548 55007249322 64175124209 110014498644 128350248418 192525372627 256700496836 385050745254 650919116977 770101490508 1301838233954 1952757350931 2603676467908 3905514701862 4556433818839 7811029403724 9112867637678 13669301456517 18225735275356 27338602913034 54677205826068