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61212012064 = 2572174156009
BaseRepresentation
bin111001000000100001…
…010010111000100000
312211222222012101201221
4321000201102320200
52000330233341224
644042001504424
74264614342400
oct710041227040
9184888171657
1061212012064
1123a61648725
12ba43942114
135a06898ca8
142d6982c800
1518d3d626e4
hexe40852e20

61212012064 has 144 divisors (see below), whose sum is σ = 152055723960. Its totient is φ = 24087920640.

The previous prime is 61212012031. The next prime is 61212012079. The reversal of 61212012064 is 46021021216.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57379411600 + 3832600464 = 239540^2 + 61908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064892 + ... + 1120900.

Almost surely, 261212012064 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 61212012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76027861980).

61212012064 is an abundant number, since it is smaller than the sum of its proper divisors (90843711896).

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

61212012064 is a wasteful number, since it uses less digits than its factorization.

61212012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56091 (or 56076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 61212012064 in words is "sixty-one billion, two hundred twelve million, twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 49 56 68 82 98 112 119 136 164 196 224 238 272 287 328 392 476 544 574 656 697 784 833 952 1148 1312 1394 1568 1666 1904 2009 2296 2788 3332 3808 4018 4592 4879 5576 6664 8036 9184 9758 11152 13328 16072 19516 22304 26656 32144 34153 39032 56009 64288 68306 78064 112018 136612 156128 224036 273224 392063 448072 546448 784126 896144 952153 1092896 1568252 1792288 1904306 2296369 2744441 3136504 3808612 4592738 5488882 6273008 6665071 7617224 9185476 10977764 12546016 13330142 15234448 16074583 18370952 21955528 26660284 30468896 32149166 36741904 39038273 43911056 46655497 53320568 64298332 73483808 78076546 87822112 93310994 106641136 112522081 128596664 156153092 186621988 213282272 225044162 257193328 273267911 312306184 373243976 450088324 514386656 546535822 624612368 746487952 900176648 1093071644 1249224736 1492975904 1800353296 1912875377 2186143288 3600706592 3825750754 4372286576 7651501508 8744573152 15303003016 30606006032 61212012064