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46012612544 = 263131377393
BaseRepresentation
bin101010110110100100…
…001011111111000000
311101202200211220022222
4222312210023333000
51223213212100134
633045441550212
73216143516303
oct526644137700
9141680756288
1046012612544
1118571a13918
128b01645368
134453946072
142326d40b3a
1512e47b1a2e
hexab690bfc0

46012612544 has 56 divisors (see below), whose sum is σ = 94294439808. Its totient is φ = 22254059520.

The previous prime is 46012612543. The next prime is 46012612561. The reversal of 46012612544 is 44521621064.

46012612544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46012612543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220112 + ... + 6227504.

Almost surely, 246012612544 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 46012612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47147219904).

46012612544 is an abundant number, since it is smaller than the sum of its proper divisors (48281827264).

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

46012612544 is a wasteful number, since it uses less digits than its factorization.

46012612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 46012612544 in words is "forty-six billion, twelve million, six hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 3137 6274 7393 12548 14786 25096 29572 50192 59144 97247 100384 118288 194494 200768 229183 236576 388988 458366 473152 777976 916732 1555952 1833464 3111904 3666928 6223808 7333856 14667712 23191841 46383682 92767364 185534728 371069456 718947071 742138912 1437894142 1484277824 2875788284 5751576568 11503153136 23006306272 46012612544