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61426609632 = 2533467152239
BaseRepresentation
bin111001001101010011…
…111010110111100000
312212112221000002021000
4321031103322313200
52001300203002012
644115145232000
74303131365313
oct711523726740
9185487002230
1061426609632
11240617a0a93
12baa3792600
135a3c1946bb
142d8a13097a
1518e7b01ddc
hexe4d4fade0

61426609632 has 96 divisors (see below), whose sum is σ = 179545766400. Its totient is φ = 20431557504.

The previous prime is 61426609591. The next prime is 61426609639. The reversal of 61426609632 is 23690662416.

61426609632 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 6 + 6 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426609639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327369 + ... + 479607.

It is an arithmetic number, because the mean of its divisors is an integer number (1870268400).

Almost surely, 261426609632 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 61426609632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89772883200).

61426609632 is an abundant number, since it is smaller than the sum of its proper divisors (118119156768).

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

61426609632 is a wasteful number, since it uses less digits than its factorization.

61426609632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152725 (or 152711 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 61426609632 in words is "sixty-one billion, four hundred twenty-six million, six hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 467 864 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 12609 14944 16812 22416 25218 33624 44832 50436 67248 100872 134496 152239 201744 304478 403488 456717 608956 913434 1217912 1370151 1826868 2435824 2740302 3653736 4110453 4871648 5480604 7307472 8220906 10961208 14614944 16441812 21922416 32883624 43844832 65767248 71095613 131534496 142191226 213286839 284382452 426573678 568764904 639860517 853147356 1137529808 1279721034 1706294712 1919581551 2275059616 2559442068 3412589424 3839163102 5118884136 6825178848 7678326204 10237768272 15356652408 20475536544 30713304816 61426609632