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46645276680 = 2333553829983
BaseRepresentation
bin101011011100010001…
…100111000000001000
311110101210022120101000
4223130101213000020
51231012142323210
633232322055000
73240625211202
oct533421470010
9143353276330
1046645276680
1118867051842
1290594aa460
134524a3a442
142386d8b772
1513300d2ac0
hexadc467008

46645276680 has 256 divisors, whose sum is σ = 158770368000. Its totient is φ = 12176925696.

The previous prime is 46645276637. The next prime is 46645276681. The reversal of 46645276680 is 8667254664.

46645276680 is a `hidden beast` number, since 4 + 66 + 452 + 76 + 68 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46645276681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47451469 + ... + 47452451.

It is an arithmetic number, because the mean of its divisors is an integer number (620196750).

Almost surely, 246645276680 is an apocalyptic number.

46645276680 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 46645276680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79385184000).

46645276680 is an abundant number, since it is smaller than the sum of its proper divisors (112125091320).

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

46645276680 is a wasteful number, since it uses less digits than its factorization.

46645276680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 46645276680 in words is "forty-six billion, six hundred forty-five million, two hundred seventy-six thousand, six hundred eighty".