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55664037600 = 25352229101281
BaseRepresentation
bin110011110101110101…
…011100111011100000
312022200022201002112020
4303311311130323200
51402444443200400
641323253301440
74010256340623
oct636565347340
9168608632466
1055664037600
1121674997366
12a955934880
135331358b72
1429a0a87dba
1516abc682a0
hexcf5d5cee0

55664037600 has 144 divisors (see below), whose sum is σ = 181979446320. Its totient is φ = 14778777600.

The previous prime is 55664037557. The next prime is 55664037619. The reversal of 55664037600 is 673046655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498960 + ... + 600240.

It is an arithmetic number, because the mean of its divisors is an integer number (1263746155).

Almost surely, 255664037600 is an apocalyptic number.

55664037600 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 55664037600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90989723160).

55664037600 is an abundant number, since it is smaller than the sum of its proper divisors (126315408720).

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

55664037600 is a wasteful number, since it uses less digits than its factorization.

55664037600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101533 (or 101520 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 55664037600 in words is "fifty-five billion, six hundred sixty-four million, thirty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 229 240 300 400 458 480 600 687 800 916 1145 1200 1374 1832 2290 2400 2748 3435 3664 4580 5496 5725 6870 7328 9160 10992 11450 13740 17175 18320 21984 22900 27480 34350 36640 45800 54960 68700 91600 101281 109920 137400 183200 202562 274800 303843 405124 506405 549600 607686 810248 1012810 1215372 1519215 1620496 2025620 2430744 2532025 3038430 3240992 4051240 4861488 5064050 6076860 7596075 8102480 9722976 10128100 12153720 15192150 16204960 20256200 23193349 24307440 30384300 40512400 46386698 48614880 60768600 69580047 81024800 92773396 115966745 121537200 139160094 185546792 231933490 243074400 278320188 347900235 371093584 463866980 556640376 579833725 695800470 742187168 927733960 1113280752 1159667450 1391600940 1739501175 1855467920 2226561504 2319334900 2783201880 3479002350 3710935840 4638669800 5566403760 6958004700 9277339600 11132807520 13916009400 18554679200 27832018800 55664037600