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46001113920 = 2633523922277
BaseRepresentation
bin101010110101111000…
…010100101101000000
311101201220012201012000
4222311320110231000
51223202241121140
633044351304000
73215644005516
oct526570245500
9141656181160
1046001113920
111856647a823
128ab981b000
13445144b348
1423255ca4b6
1512e378ea30
hexab5e14b40

46001113920 has 224 divisors, whose sum is σ = 162968025600. Its totient is φ = 12215089152.

The previous prime is 46001113891. The next prime is 46001113957. The reversal of 46001113920 is 2931110064.

46001113920 is a `hidden beast` number, since 4 + 600 + 1 + 1 + 1 + 39 + 20 = 666.

It is a super-2 number, since 2×460011139202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2053822 + ... + 2076098.

Almost surely, 246001113920 is an apocalyptic number.

46001113920 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 46001113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81484012800).

46001113920 is an abundant number, since it is smaller than the sum of its proper divisors (116966911680).

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

46001113920 is a wasteful number, since it uses less digits than its factorization.

46001113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22542 (or 22526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 46001113920 its reverse (2931110064), we get a palindrome (48932223984).

The spelling of 46001113920 in words is "forty-six billion, one million, one hundred thirteen thousand, nine hundred twenty".