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54350952750 = 2335347672557
BaseRepresentation
bin110010100111100100…
…011011100100101110
312012021210220110202000
4302213210123210232
51342302320442000
640545105313130
73632603322123
oct624744334456
9165253813660
1054350952750
1121060772276
12a64a0357a6
1351822bc193
1428b851c74a
151631841000
hexca791b92e

54350952750 has 256 divisors, whose sum is σ = 156299120640. Its totient is φ = 13968028800.

The previous prime is 54350952737. The next prime is 54350952757. The reversal of 54350952750 is 5725905345.

54350952750 is a `hidden beast` number, since 5 + 43 + 509 + 52 + 7 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54350952696 and 54350952705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54350952757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21254472 + ... + 21257028.

It is an arithmetic number, because the mean of its divisors is an integer number (610543440).

Almost surely, 254350952750 is an apocalyptic number.

54350952750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54350952750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78149560320).

54350952750 is an abundant number, since it is smaller than the sum of its proper divisors (101948167890).

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

54350952750 is a wasteful number, since it uses less digits than its factorization.

54350952750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 54350952750 in words is "fifty-four billion, three hundred fifty million, nine hundred fifty-two thousand, seven hundred fifty".