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5638211712 = 2734777687
BaseRepresentation
bin1010100000001000…
…00100100010000000
3112112221021211110000
411100010010202000
543021340233322
62331250240000
7256502003010
oct52004044200
915487254400
105638211712
112433694a01
121114286000
136bb146063
143b6b53c40
1522eec13ac
hex150104880

5638211712 has 160 divisors (see below), whose sum is σ = 19176505920. Its totient is φ = 1610896896.

The previous prime is 5638211701. The next prime is 5638211713. The reversal of 5638211712 is 2171128365.

5638211712 is a `hidden beast` number, since 5 + 638 + 2 + 1 + 1 + 7 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5638211713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33733 + ... + 111419.

It is an arithmetic number, because the mean of its divisors is an integer number (119853162).

Almost surely, 25638211712 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 5638211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588252960).

5638211712 is an abundant number, since it is smaller than the sum of its proper divisors (13538294208).

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

5638211712 is an equidigital number, since it uses as much as digits as its factorization.

5638211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77720 (or 77699 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5638211712 is about 75088.0264223265. The cubic root of 5638211712 is about 1779.8379383658.

The spelling of 5638211712 in words is "five billion, six hundred thirty-eight million, two hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 77687 155374 233061 310748 466122 543809 621496 699183 932244 1087618 1242992 1398366 1631427 1864488 2097549 2175236 2485984 2796732 3262854 3728976 4195098 4350472 4894281 4971968 5593464 6292647 6525708 7457952 8390196 8700944 9788562 9943936 11186928 12585294 13051416 14682843 14915904 16780392 17401888 19577124 22373856 25170588 26102832 29365686 29831808 33560784 34803776 39154248 44048529 44747712 50341176 52205664 58731372 67121568 69607552 78308496 88097058 89495424 100682352 104411328 117462744 134243136 156616992 176194116 201364704 208822656 234925488 268486272 313233984 352388232 402729408 469850976 626467968 704776464 805458816 939701952 1409552928 1879403904 2819105856 5638211712