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61999008016 = 2411256592
BaseRepresentation
bin111001101111011011…
…011100100100010000
312221000211001221020011
4321233123130210100
52003433221224031
644252033524304
74323251605261
oct715733344420
9187024057204
1061999008016
1124325907400
1210023413694
135b00947b7a
143002170968
15192cebb6b1
hexe6f6dc910

61999008016 has 45 divisors (see below), whose sum is σ = 132059446743. Its totient is φ = 28176387360.

The previous prime is 61999008011. The next prime is 61999008017. The reversal of 61999008016 is 61080099916.

The square root of 61999008016 is 248996.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61999008011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10952995 + ... + 10958653.

Almost surely, 261999008016 is an apocalyptic number.

61999008016 is the 248996-th square number.

It is an amenable number.

61999008016 is an abundant number, since it is smaller than the sum of its proper divisors (70060438727).

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

61999008016 is an frugal number, since it uses more digits than its factorization.

61999008016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

Multiplying 61999008016 by its sum of digits (49), we get a square (3037951392784 = 17429722).

The spelling of 61999008016 in words is "sixty-one billion, nine hundred ninety-nine million, eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 5659 11318 22636 45272 62249 90544 124498 248996 497992 684739 995984 1369478 2738956 5477912 10955824 32024281 64048562 128097124 256194248 352267091 512388496 704534182 1409068364 2818136728 3874938001 5636273456 7749876002 15499752004 30999504008 61999008016