Search a number
-
+
11740250425400 = 23527172309213637
BaseRepresentation
bin1010101011010111110101…
…1101001100100000111000
31112120100122020102112121122
42222311331131030200320
53014323013102103100
640545221355124412
72321130231034010
oct252657535144070
945510566375548
1011740250425400
11381701532a992
12139740a143708
136721407a4753
142c83343d4c40
151555ce213985
hexaad7d74c838

11740250425400 has 192 divisors, whose sum is σ = 33045013108800. Its totient is φ = 3786792099840.

The previous prime is 11740250425399. The next prime is 11740250425403. The reversal of 11740250425400 is 452405204711.

It is a super-2 number, since 2×117402504254002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740250425403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54847382 + ... + 55061018.

It is an arithmetic number, because the mean of its divisors is an integer number (172109443275).

Almost surely, 211740250425400 is an apocalyptic number.

11740250425400 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 11740250425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522506554400).

11740250425400 is an abundant number, since it is smaller than the sum of its proper divisors (21304762683400).

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

11740250425400 is a wasteful number, since it uses less digits than its factorization.

11740250425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215986 (or 215977 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 11740250425400 in words is "eleven trillion, seven hundred forty billion, two hundred fifty million, four hundred twenty-five thousand, four hundred".