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94920294664 = 23138320395393
BaseRepresentation
bin101100001100110110…
…0001100000100001000
3100002000011021120112001
41120121230030010020
53023344043412124
6111334503200344
76600133122646
oct1303154140410
9302004246461
1094920294664
113728a039318
12164907460b4
138c492c4940
144846572196
1527082dbb44
hex1619b0c108

94920294664 has 64 divisors (see below), whose sum is σ = 194106326400. Its totient is φ = 43252294656.

The previous prime is 94920294649. The next prime is 94920294671. The reversal of 94920294664 is 46649202949.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17597952 + ... + 17603344.

It is an arithmetic number, because the mean of its divisors is an integer number (3032911350).

Almost surely, 294920294664 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 94920294664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97053163200).

94920294664 is an abundant number, since it is smaller than the sum of its proper divisors (99186031736).

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

94920294664 is a wasteful number, since it uses less digits than its factorization.

94920294664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 94920294664 in words is "ninety-four billion, nine hundred twenty million, two hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2039 2158 4078 4316 5393 8156 8632 10786 16312 21572 26507 43144 53014 70109 106028 140218 169237 212056 280436 338474 447619 560872 676948 895238 1353896 1790476 2200081 3580952 4400162 5819047 8800324 10996327 11638094 17600648 21992654 23276188 43985308 46552376 87970616 142952251 285904502 571809004 912695141 1143618008 1825390282 3650780564 7301561128 11865036833 23730073666 47460147332 94920294664