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255876678552 = 2331119283717981
BaseRepresentation
bin1110111001001101110…
…0000100001110011000
3220110110111010001120110
43232103130010032120
513143013412203202
6313314221124320
724325601611245
oct3562334041630
9813414101513
10255876678552
1199575794890
12417106b96a0
131b18a739c91
14c5550bc5cc
1569c8be226c
hex3b93704398

255876678552 has 128 divisors (see below), whose sum is σ = 734873990400. Its totient is φ = 73427443200.

The previous prime is 255876678521. The next prime is 255876678581.

255876678552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14221402 + ... + 14239382.

It is an arithmetic number, because the mean of its divisors is an integer number (5741203050).

Almost surely, 2255876678552 is an apocalyptic number.

255876678552 is a gapful number since it is divisible by the number (22) 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 255876678552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367436995200).

255876678552 is an abundant number, since it is smaller than the sum of its proper divisors (478997311848).

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

255876678552 is a wasteful number, since it uses less digits than its factorization.

255876678552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20857 (or 20853 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 66.

The spelling of 255876678552 in words is "two hundred fifty-five billion, eight hundred seventy-six million, six hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 2837 5016 5674 8511 11348 17022 17981 22696 31207 34044 35962 53903 53943 62414 68088 71924 93621 107806 107886 124828 143848 161709 187242 197791 215612 215772 249656 323418 341639 374484 395582 431224 431544 592933 593373 646836 683278 748968 791164 1024917 1185866 1186746 1293672 1366556 1582328 1778799 2049834 2371732 2373492 2733112 3557598 3758029 4099668 4743464 4746984 7115196 7516058 8199336 11274087 14230392 15032116 22548174 30064232 45096348 51012097 90192696 102024194 153036291 204048388 306072582 408096776 561133067 612145164 969229843 1122266134 1224290328 1683399201 1938459686 2244532268 2907689529 3366798402 3876919372 4489064536 5815379058 6733596804 7753838744 10661528273 11630758116 13467193608 21323056546 23261516232 31984584819 42646113092 63969169638 85292226184 127938339276 255876678552