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55351931376 = 24372310369539
BaseRepresentation
bin110011100011001110…
…110111000111110000
312021212120102110021110
4303203032313013300
51401330043301001
641232303553320
73666446440140
oct634316670760
9167776373243
1055351931376
11215247a4335
12a8892bb840
1352b17ac921
142971442920
15168e6673d6
hexce33b71f0

55351931376 has 160 divisors (see below), whose sum is σ = 172183265280. Its totient is φ = 14980154112.

The previous prime is 55351931351. The next prime is 55351931447. The reversal of 55351931376 is 67313915355.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 761215 + ... + 830753.

It is an arithmetic number, because the mean of its divisors is an integer number (1076145408).

Almost surely, 255351931376 is an apocalyptic number.

55351931376 is a gapful number since it is divisible by the number (56) 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 55351931376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86091632640).

55351931376 is an abundant number, since it is smaller than the sum of its proper divisors (116831333904).

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

55351931376 is a wasteful number, since it uses less digits than its factorization.

55351931376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69683 (or 69677 counting only the distinct ones).

The product of its digits is 1275750, while the sum is 48.

The spelling of 55351931376 in words is "fifty-five billion, three hundred fifty-one million, nine hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 103 112 138 161 168 184 206 276 309 322 336 368 412 483 552 618 644 721 824 966 1104 1236 1288 1442 1648 1932 2163 2369 2472 2576 2884 3864 4326 4738 4944 5768 7107 7728 8652 9476 11536 14214 16583 17304 18952 28428 33166 34608 37904 49749 56856 66332 69539 99498 113712 132664 139078 198996 208617 265328 278156 397992 417234 486773 556312 795984 834468 973546 1112624 1460319 1599397 1668936 1947092 2920638 3198794 3337872 3894184 4798191 5841276 6397588 7162517 7788368 9596382 11195779 11682552 12795176 14325034 19192764 21487551 22391558 23365104 25590352 28650068 33587337 38385528 42975102 44783116 50137619 57300136 67174674 76771056 85950204 89566232 100275238 114600272 134349348 150412857 164737891 171900408 179132464 200550476 268698696 300825714 329475782 343800816 401100952 494213673 537397392 601651428 658951564 802201904 988427346 1153165237 1203302856 1317903128 1976854692 2306330474 2406605712 2635806256 3459495711 3953709384 4612660948 6918991422 7907418768 9225321896 13837982844 18450643792 27675965688 55351931376