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55501213536 = 2532593324979
BaseRepresentation
bin110011101100001000…
…010100111101100000
312022020222022202220100
4303230020110331200
51402131302313121
641255155342400
74003241350116
oct635410247540
9168228282810
1055501213536
11215a0a9621a
12a90b2b1a00
1353066b9b72
1429871c1ab6
15169c804026
hexcec214f60

55501213536 has 72 divisors (see below), whose sum is σ = 158098220280. Its totient is φ = 18469149696.

The previous prime is 55501213531. The next prime is 55501213567. The reversal of 55501213536 is 63531210555.

55501213536 is a `hidden beast` number, since 55 + 50 + 1 + 21 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55501213536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55501213531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8295 + ... + 333273.

It is an arithmetic number, because the mean of its divisors is an integer number (2195808615).

Almost surely, 255501213536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55501213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049110140).

55501213536 is an abundant number, since it is smaller than the sum of its proper divisors (102597006744).

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

55501213536 is a wasteful number, since it uses less digits than its factorization.

55501213536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325588 (or 325577 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 55501213536 in words is "fifty-five billion, five hundred one million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 18976 21348 28464 42696 56928 85392 170784 324979 649958 974937 1299916 1949874 2599832 2924811 3899748 5199664 5849622 7799496 10399328 11699244 15598992 23398488 31197984 46796976 93593952 192712547 385425094 578137641 770850188 1156275282 1541700376 1734412923 2312550564 3083400752 3468825846 4625101128 6166801504 6937651692 9250202256 13875303384 18500404512 27750606768 55501213536