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55150566984 = 23331913174217
BaseRepresentation
bin110011010111001110…
…101101111001001000
312021100112112002021000
4303113032231321020
51400422021120414
641200312015000
73661453041012
oct632716557110
9167315462230
1055150566984
112143106a287
12a831991460
13527bb685b6
1429527c71b2
15167bb3db09
hexcd73ade48

55150566984 has 128 divisors (see below), whose sum is σ = 154520524800. Its totient is φ = 18225262080.

The previous prime is 55150566973. The next prime is 55150567013. The reversal of 55150566984 is 48966505155.

55150566984 is a `hidden beast` number, since 5 + 51 + 505 + 6 + 6 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55150566984.

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, 13076044 + ... + 13080260.

It is an arithmetic number, because the mean of its divisors is an integer number (1207191600).

Almost surely, 255150566984 is an apocalyptic number.

55150566984 is a gapful number since it is divisible by the number (54) 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 55150566984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77260262400).

55150566984 is an abundant number, since it is smaller than the sum of its proper divisors (99369957816).

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

55150566984 is a wasteful number, since it uses less digits than its factorization.

55150566984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 55150566984 in words is "fifty-five billion, one hundred fifty million, five hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 317 382 573 634 764 951 1146 1268 1528 1719 1902 2292 2536 2853 3438 3804 4217 4584 5157 5706 6876 7608 8434 8559 10314 11412 12651 13752 16868 17118 20628 22824 25302 33736 34236 37953 41256 50604 60547 68472 75906 101208 113859 121094 151812 181641 227718 242188 303624 363282 455436 484376 544923 726564 805447 910872 1089846 1336789 1453128 1610894 1634769 2179692 2416341 2673578 3221788 3269538 4010367 4359384 4832682 5347156 6443576 6539076 7249023 8020734 9665364 10694312 12031101 13078152 14498046 16041468 19330728 21747069 24062202 28996092 32082936 36093303 43494138 48124404 57992184 72186606 86988276 96248808 144373212 173976552 255326699 288746424 510653398 765980097 1021306796 1531960194 2042613592 2297940291 3063920388 4595880582 6127840776 6893820873 9191761164 13787641746 18383522328 27575283492 55150566984