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46694164608 = 2738713247
BaseRepresentation
bin101011011111001100…
…000110100010000000
311110112012022100000000
4223133030012202000
51231112201231413
633241230000000
73242060564460
oct533714064200
9143465270000
1046694164608
1118891702a93
129071946000
134531bc6600
14238d675ba0
15133453d073
hexadf306880

46694164608 has 864 divisors, whose sum is σ = 176344421760. Its totient is φ = 12052924416.

The previous prime is 46694164607. The next prime is 46694164619. The reversal of 46694164608 is 80646149664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46694164607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 993492841 + ... + 993492887.

It is an arithmetic number, because the mean of its divisors is an integer number (204102340).

Almost surely, 246694164608 is an apocalyptic number.

46694164608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46694164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88172210880).

46694164608 is an abundant number, since it is smaller than the sum of its proper divisors (129650257152).

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

46694164608 is an frugal number, since it uses more digits than its factorization.

46694164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46694164608 in words is "forty-six billion, six hundred ninety-four million, one hundred sixty-four thousand, six hundred eight".