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46197076680 = 2334531237401
BaseRepresentation
bin101011000001100011…
…110111001011001000
311102020112221122120000
4223001203313023020
51224102422423210
633120031403000
73223543446516
oct530143671310
9142215848500
1046197076680
1118657055517
128b53383460
134482c20b41
14234363b4b6
151305a9cac0
hexac18f72c8

46197076680 has 480 divisors, whose sum is σ = 165191150520. Its totient is φ = 11570688000.

The previous prime is 46197076657. The next prime is 46197076693. The reversal of 46197076680 is 8667079164.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45673673796 + 523402884 = 213714^2 + 22878^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115204480 + ... + 115204880.

Almost surely, 246197076680 is an apocalyptic number.

46197076680 is a gapful number since it is divisible by the number (40) 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 46197076680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82595575260).

46197076680 is an abundant number, since it is smaller than the sum of its proper divisors (118994073840).

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

46197076680 is a wasteful number, since it uses less digits than its factorization.

46197076680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 46197076680 in words is "forty-six billion, one hundred ninety-seven million, seventy-six thousand, six hundred eighty".