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55406256984 = 233613730799
BaseRepresentation
bin110011100110011110…
…000110001101011000
312022000100122111000000
4303212132012031120
51401433000210414
641241524213000
74001006261631
oct634636061530
9168010574000
1055406256984
1121552429a31
12a8a353a160
1352bcb20b60
142978744888
1516942e8b09
hexce6786358

55406256984 has 112 divisors (see below), whose sum is σ = 167740524000. Its totient is φ = 17048055744.

The previous prime is 55406256973. The next prime is 55406257019. The reversal of 55406256984 is 48965260455.

55406256984 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 625 + 6 + 9 + 8 + 4 = 666.

55406256984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55406256984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 289584 + ... + 441215.

It is an arithmetic number, because the mean of its divisors is an integer number (1497683250).

Almost surely, 255406256984 is an apocalyptic number.

55406256984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55406256984 is an abundant number, since it is smaller than the sum of its proper divisors (112334267016).

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

55406256984 is a wasteful number, since it uses less digits than its factorization.

55406256984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730836 (or 730817 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 55406256984 in words is "fifty-five billion, four hundred six million, two hundred fifty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 25272 37908 75816 730799 1461598 2192397 2923196 4384794 5846392 6577191 8769588 9500387 13154382 17539176 19000774 19731573 26308764 28501161 38001548 39463146 52617528 57002322 59194719 76003096 78926292 85503483 114004644 118389438 157852584 171006966 177584157 228009288 236778876 256510449 342013932 355168314 473557752 513020898 532752471 684027864 710336628 769531347 1026041796 1065504942 1420673256 1539062694 2052083592 2131009884 2308594041 3078125388 4262019768 4617188082 6156250776 6925782123 9234376164 13851564246 18468752328 27703128492 55406256984