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55522712672 = 257378577817
BaseRepresentation
bin110011101101011010…
…010101110001100000
312022022110210001011122
4303231122111301200
51402202303301142
641301244231412
74003622161610
oct635532256140
9168273701148
1055522712672
112160213a8a9
12a91653b568
13530aca674b
142989dbaa40
15169e64e1d2
hexced695c60

55522712672 has 96 divisors (see below), whose sum is σ = 128468628288. Its totient is φ = 23122354176.

The previous prime is 55522712669. The next prime is 55522712737. The reversal of 55522712672 is 27621722555.

It is a happy number.

55522712672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7098908 + ... + 7106724.

It is an arithmetic number, because the mean of its divisors is an integer number (1338214878).

Almost surely, 255522712672 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 55522712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64234314144).

55522712672 is an abundant number, since it is smaller than the sum of its proper divisors (72945915616).

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

55522712672 is a wasteful number, since it uses less digits than its factorization.

55522712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8720 counting only the distinct ones).

The product of its digits is 588000, while the sum is 44.

The spelling of 55522712672 in words is "fifty-five billion, five hundred twenty-two million, seven hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 857 1036 1184 1714 2072 3428 4144 5999 6856 7817 8288 11998 13712 15634 23996 27424 31268 31709 47992 54719 62536 63418 95984 109438 125072 126836 191968 218876 221963 250144 253672 289229 437752 443926 507344 578458 875504 887852 1014688 1156916 1751008 1775704 2024603 2313832 3551408 4049206 4627664 6699169 7102816 8098412 9255328 13398338 16196824 26796676 32393648 46894183 53593352 64787296 93788366 107186704 187576732 214373408 247869253 375153464 495738506 750306928 991477012 1500613856 1735084771 1982954024 3470169542 3965908048 6940339084 7931816096 13880678168 27761356336 55522712672