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55662821568 = 263412838369
BaseRepresentation
bin110011110101110000…
…110100000011000000
312022200020102022110000
4303311300310003000
51402444140242233
641323211240000
74010243114424
oct636560640300
9168606368400
1055662821568
1121674236782
12a955449000
135331021513
1429a084cb84
1516abac7d13
hexcf5c340c0

55662821568 has 140 divisors (see below), whose sum is σ = 165150378360. Its totient is φ = 18537596928.

The previous prime is 55662821453. The next prime is 55662821587. The reversal of 55662821568 is 86512826655.

It is a happy number.

55662821568 is a `hidden beast` number, since 5 + 5 + 6 + 628 + 2 + 1 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×556628215682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6646888 + ... + 6655256.

Almost surely, 255662821568 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 55662821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82575189180).

55662821568 is an abundant number, since it is smaller than the sum of its proper divisors (109487556792).

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

55662821568 is a wasteful number, since it uses less digits than its factorization.

55662821568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9657 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 55662821568 in words is "fifty-five billion, six hundred sixty-two million, eight hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1283 1296 1728 2566 2592 3849 5132 5184 7698 8369 10264 11547 15396 16738 20528 23094 25107 30792 33476 34641 41056 46188 50214 61584 66952 69282 75321 82112 92376 100428 103923 123168 133904 138564 150642 184752 200856 207846 225963 246336 267808 277128 301284 369504 401712 415692 451926 535616 554256 602568 677889 739008 803424 831384 903852 1108512 1205136 1355778 1606848 1662768 1807704 2217024 2410272 2711556 3325536 3615408 4820544 5423112 6651072 7230816 10737427 10846224 14461632 21474854 21692448 32212281 42949708 43384896 64424562 85899416 96636843 128849124 171798832 193273686 257698248 289910529 343597664 386547372 515396496 579821058 687195328 773094744 869731587 1030792992 1159642116 1546189488 1739463174 2061585984 2319284232 3092378976 3478926348 4638568464 6184757952 6957852696 9277136928 13915705392 18554273856 27831410784 55662821568