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157054118400 = 2933521313469
BaseRepresentation
bin1001001001000100100…
…1111010101000000000
3120000101101000212011000
42102101021322220000
510033121323242100
6200052154452000
714226642660054
oct2222111725000
9500341025130
10157054118400
1160673a56773
1226531134000
1311a6bb5320a
14785c597c64
154143038900
hex249127aa00

157054118400 has 480 divisors, whose sum is σ = 581032900800. Its totient is φ = 41549414400.

The previous prime is 157054118363. The next prime is 157054118407. The reversal of 157054118400 is 4811450751.

157054118400 is a `hidden beast` number, since 1 + 5 + 70 + 541 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1570541184002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157054118407) 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 47 ways as a sum of consecutive naturals, for example, 45271866 + ... + 45275334.

It is an arithmetic number, because the mean of its divisors is an integer number (1210485210).

Almost surely, 2157054118400 is an apocalyptic number.

157054118400 is a gapful number since it is divisible by the number (10) 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 157054118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290516450400).

157054118400 is an abundant number, since it is smaller than the sum of its proper divisors (423978782400).

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

157054118400 is a wasteful number, since it uses less digits than its factorization.

157054118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 157054118400 in words is "one hundred fifty-seven billion, fifty-four million, one hundred eighteen thousand, four hundred".