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190136486400 = 2935271741609
BaseRepresentation
bin1011000100010100000…
…1001000101000000000
3200011202221100021111220
42301011001020220000
511103344420031100
6223203020435040
716510521316410
oct2610501105000
9604687307456
10190136486400
11737000a9473
1230a243a8a80
1314c119ab9b3
1492ba12a640
154e2c576aa0
hex2c45048a00

190136486400 has 480 divisors, whose sum is σ = 760076887680. Its totient is φ = 40902328320.

The previous prime is 190136486399. The next prime is 190136486431. The reversal of 190136486400 is 4684631091.

190136486400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4548796 + ... + 4590404.

It is an arithmetic number, because the mean of its divisors is an integer number (1583493516).

Almost surely, 2190136486400 is an apocalyptic number.

190136486400 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 190136486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380038443840).

190136486400 is an abundant number, since it is smaller than the sum of its proper divisors (569940401280).

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

190136486400 is a wasteful number, since it uses less digits than its factorization.

190136486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41664 (or 41643 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 190136486400 in words is "one hundred ninety billion, one hundred thirty-six million, four hundred eighty-six thousand, four hundred".