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46648821240 = 23335722813137
BaseRepresentation
bin101011011100011111…
…001000010111111000
311110102000222122121000
4223130133020113320
51231014044234430
633232530045000
73241000303200
oct533437102770
9143360878530
1046648821240
111886905292a
12905a719760
1345256ab908
142387631400
151330582e60
hexadc7c85f8

46648821240 has 384 divisors, whose sum is σ = 181584763200. Its totient is φ = 10621255680.

The previous prime is 46648821199. The next prime is 46648821257. The reversal of 46648821240 is 4212884664.

46648821240 is a `hidden beast` number, since 46 + 6 + 488 + 2 + 124 + 0 = 666.

It is a super-2 number, since 2×466488212402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14868952 + ... + 14872088.

Almost surely, 246648821240 is an apocalyptic number.

46648821240 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 46648821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90792381600).

46648821240 is an abundant number, since it is smaller than the sum of its proper divisors (134935941960).

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

46648821240 is a wasteful number, since it uses less digits than its factorization.

46648821240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 46648821240 in words is "forty-six billion, six hundred forty-eight million, eight hundred twenty-one thousand, two hundred forty".