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638377270056 = 233253179934579
BaseRepresentation
bin10010100101000100100…
…00000001101100101000
32021000202121110100222200
421102202100001230220
540424344040120211
61205133320220200
764056404156511
oct11224220015450
92230677410880
10638377270056
11226809365609
12a387b30a660
1348277779126
1422c7d121a08
1511914165b56
hex94a2401b28

638377270056 has 96 divisors (see below), whose sum is σ = 1771402932000. Its totient is φ = 207610895232.

The previous prime is 638377270049. The next prime is 638377270081. The reversal of 638377270056 is 650072773836.

It is a junction number, because it is equal to n+sod(n) for n = 638377269984 and 638377270011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215775 + ... + 1150353.

It is an arithmetic number, because the mean of its divisors is an integer number (18452113875).

Almost surely, 2638377270056 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 638377270056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885701466000).

638377270056 is an abundant number, since it is smaller than the sum of its proper divisors (1133025661944).

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

638377270056 is a wasteful number, since it uses less digits than its factorization.

638377270056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934823 (or 934816 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 638377270056 in words is "six hundred thirty-eight billion, three hundred seventy-seven million, two hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 179 212 318 358 424 477 537 636 716 954 1074 1272 1432 1611 1908 2148 3222 3816 4296 6444 9487 12888 18974 28461 37948 56922 75896 85383 113844 170766 227688 341532 683064 934579 1869158 2803737 3738316 5607474 7476632 8411211 11214948 16822422 22429896 33644844 49532687 67289688 99065374 148598061 167289641 198130748 297196122 334579282 396261496 445794183 501868923 594392244 669158564 891588366 1003737846 1188784488 1338317128 1505606769 1783176732 2007475692 3011213538 3566353464 4014951384 6022427076 8866350973 12044854152 17732701946 26599052919 35465403892 53198105838 70930807784 79797158757 106396211676 159594317514 212792423352 319188635028 638377270056