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48673723392 = 210337475351
BaseRepresentation
bin101101010101001011…
…100001010000000000
311122122011012100011000
4231111023201100000
51244140433122032
634205502452000
73342115552050
oct552513412000
9148564170130
1048673723392
1119708058888
129524894000
134789064778
1424da52d560
1513ed213e7c
hexb552e1400

48673723392 has 352 divisors, whose sum is σ = 168277155840. Its totient is φ = 13608345600.

The previous prime is 48673723333. The next prime is 48673723393. The reversal of 48673723392 is 29332737684.

48673723392 is a `hidden beast` number, since 486 + 7 + 3 + 72 + 3 + 3 + 92 = 666.

It is a super-3 number, since 3×486737233923 (a number of 33 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48673723393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9093517 + ... + 9098867.

Almost surely, 248673723392 is an apocalyptic number.

48673723392 is a gapful number since it is divisible by the number (42) 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 48673723392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84138577920).

48673723392 is an abundant number, since it is smaller than the sum of its proper divisors (119603432448).

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

48673723392 is a wasteful number, since it uses less digits than its factorization.

48673723392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5410 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 48673723392 in words is "forty-eight billion, six hundred seventy-three million, seven hundred twenty-three thousand, three hundred ninety-two".