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61564220104 = 23173124111489
BaseRepresentation
bin111001010101100000…
…110111001011001000
312212220111221102100011
4321111200313023020
52002040420020404
644140542521304
74306422144112
oct712540671310
9185814842304
1061564220104
1124122440852
12bb21896234
135a6184620a
142da05123b2
151904c35604
hexe558372c8

61564220104 has 96 divisors (see below), whose sum is σ = 129384523800. Its totient is φ = 27350630400.

The previous prime is 61564220093. The next prime is 61564220111. The reversal of 61564220104 is 40102246516.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37635224004 + 23928996100 = 193998^2 + 154690^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352792 + ... + 5364280.

Almost surely, 261564220104 is an apocalyptic number.

It is an amenable number.

61564220104 is an abundant number, since it is smaller than the sum of its proper divisors (67820303696).

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

61564220104 is a wasteful number, since it uses less digits than its factorization.

61564220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 61564220104 in words is "sixty-one billion, five hundred sixty-four million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 17 31 34 41 62 68 82 124 136 164 248 328 527 697 961 1054 1271 1394 1922 2108 2542 2788 3844 4216 5084 5576 7688 10168 11489 16337 21607 22978 32674 39401 43214 45956 65348 78802 86428 91912 130696 157604 172856 195313 315208 356159 390626 471049 669817 712318 781252 942098 1339634 1424636 1562504 1884196 2679268 2849272 3768392 5358536 6054703 8007833 11040929 12109406 14602519 16015666 22081858 24218812 29205038 32031332 44163716 48437624 58410076 64062664 88327432 116820152 187695793 248242823 375391586 452678089 496485646 750783172 905356178 992971292 1501566344 1810712356 1985942584 3621424712 7695527513 15391055026 30782110052 61564220104