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49023583227360 = 25345723315091489
BaseRepresentation
bin10110010010110001100010…
…10000111000110111100000
320102120121102210201220210000
423021120301100320313200
522411200244301233420
6252133042341140000
713216560043663020
oct1311306120706740
9212517383656700
1049023583227360
111469086a764a45
1255b91229ba600
132147b9a2bba51
14c16a7b30ba80
155a0338a11690
hex2c9631438de0

49023583227360 has 1920 divisors, whose sum is σ = 213542745292800. Its totient is φ = 10345120727040.

The previous prime is 49023583227313. The next prime is 49023583227389. The reversal of 49023583227360 is 6372238532094.

It is a happy number.

49023583227360 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 3 + 58 + 3 + 227 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49023583227297 and 49023583227306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32923829496 + ... + 32923830984.

It is an arithmetic number, because the mean of its divisors is an integer number (111220179840).

Almost surely, 249023583227360 is an apocalyptic number.

49023583227360 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 49023583227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771372646400).

49023583227360 is an abundant number, since it is smaller than the sum of its proper divisors (164519162065440).

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

49023583227360 is a wasteful number, since it uses less digits than its factorization.

49023583227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 49023583227360 in words is "forty-nine trillion, twenty-three billion, five hundred eighty-three million, two hundred twenty-seven thousand, three hundred sixty".