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46421402976 = 25321312398879
BaseRepresentation
bin101011001110111011…
…100110010101100000
311102211012001121101100
4223032323212111200
51230032334343401
633154203434400
73232236262164
oct531673462540
9142735047340
1046421402976
1118761743153
128bb6525a00
1344ba5447b0
142365352ca4
15131a60eb86
hexaceee6560

46421402976 has 72 divisors (see below), whose sum is σ = 142165558080. Its totient is φ = 14283507456.

The previous prime is 46421402953. The next prime is 46421403001. The reversal of 46421402976 is 67920412464.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6195696 + ... + 6203183.

It is an arithmetic number, because the mean of its divisors is an integer number (1974521640).

Almost surely, 246421402976 is an apocalyptic number.

It is an amenable number.

46421402976 is an abundant number, since it is smaller than the sum of its proper divisors (95744155104).

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

46421402976 is a wasteful number, since it uses less digits than its factorization.

46421402976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398908 (or 12398897 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46421402976 in words is "forty-six billion, four hundred twenty-one million, four hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 12398879 24797758 37196637 49595516 74393274 99191032 111589911 148786548 161185427 198382064 223179822 297573096 322370854 396764128 446359644 483556281 595146192 644741708 892719288 967112562 1190292384 1289483416 1450668843 1785438576 1934225124 2578966832 2901337686 3570877152 3868450248 5157933664 5802675372 7736900496 11605350744 15473800992 23210701488 46421402976