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54397663100 = 225211193118369
BaseRepresentation
bin110010101010010110…
…100111011101111100
312012102001210121021222
4302222112213131330
51342401300204400
640553454412512
73634011335654
oct625226473574
9165361717258
1054397663100
1121085076470
12a661801138
13518bb95141
1428c07db364
1516359bb185
hexcaa5a777c

54397663100 has 144 divisors (see below), whose sum is σ = 136003795200. Its totient is φ = 18677376000.

The previous prime is 54397663087. The next prime is 54397663127. The reversal of 54397663100 is 136679345.

It is a happy number.

It is a super-2 number, since 2×543976631002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6495716 + ... + 6504084.

It is an arithmetic number, because the mean of its divisors is an integer number (944470800).

Almost surely, 254397663100 is an apocalyptic number.

54397663100 is a gapful number since it is divisible by the number (50) 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 54397663100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68001897600).

54397663100 is an abundant number, since it is smaller than the sum of its proper divisors (81606132100).

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

54397663100 is a wasteful number, since it uses less digits than its factorization.

54397663100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 54397663100 in words is "fifty-four billion, three hundred ninety-seven million, six hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 311 380 418 475 550 622 836 950 1045 1100 1244 1555 1900 2090 3110 3421 4180 5225 5909 6220 6842 7775 8369 10450 11818 13684 15550 16738 17105 20900 23636 29545 31100 33476 34210 41845 59090 64999 68420 83690 85525 92059 118180 129998 147725 159011 167380 171050 184118 209225 259996 295450 318022 324995 342100 368236 418450 460295 590900 636044 649990 795055 836900 920590 1299980 1590110 1624975 1749121 1841180 2301475 2602759 3180220 3249950 3498242 3975275 4602950 5205518 6499900 6996484 7950550 8745605 9205900 10411036 13013795 15901100 17491210 26027590 28630349 34982420 43728025 49452421 52055180 57260698 65068975 87456050 98904842 114521396 130137950 143151745 174912100 197809684 247262105 260275900 286303490 494524210 543976631 572606980 715758725 989048420 1087953262 1236310525 1431517450 2175906524 2472621050 2719883155 2863034900 4945242100 5439766310 10879532620 13599415775 27198831550 54397663100