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46354136064 = 210379409467
BaseRepresentation
bin101011001010111010…
…111111110000000000
311102122111111002112020
4223022322333300000
51224413124323224
633143402001440
73230461440555
oct531272776000
9142574432466
1046354136064
1118727779565
128b97aa6280
1344a9621ca2
14235a442a2c
151314773c79
hexacaebfc00

46354136064 has 176 divisors, whose sum is σ = 125689075200. Its totient is φ = 15185903616.

The previous prime is 46354136053. The next prime is 46354136069. The reversal of 46354136064 is 46063145364.

46354136064 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 (46354136069) 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, 99259159 + ... + 99259625.

Almost surely, 246354136064 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 46354136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62844537600).

46354136064 is an abundant number, since it is smaller than the sum of its proper divisors (79334939136).

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

46354136064 is a wasteful number, since it uses less digits than its factorization.

46354136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 46354136064 in words is "forty-six billion, three hundred fifty-four million, one hundred thirty-six thousand, sixty-four".