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190261406412 = 223471117448607
BaseRepresentation
bin1011000100110001110…
…1101010101011001100
3200012002122101212120000
42301030131222223030
511104123410001122
6223223242124300
716513566161610
oct2611435525314
9605078355500
10190261406412
1173764670750
1230a5a1b0690
1314c3183916c
1492cc967340
154e385000ac
hex2c4c76aacc

190261406412 has 240 divisors, whose sum is σ = 656589846528. Its totient is φ = 46511470080.

The previous prime is 190261406399. The next prime is 190261406431. The reversal of 190261406412 is 214604162091.

190261406412 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 6 + 1 + 4 + 0 + 641 + 2 = 666.

190261406412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 199813 + ... + 648419.

Almost surely, 2190261406412 is an apocalyptic number.

190261406412 is a gapful number since it is divisible by the number (12) 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 190261406412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328294923264).

190261406412 is an abundant number, since it is smaller than the sum of its proper divisors (466328440116).

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

190261406412 is a wasteful number, since it uses less digits than its factorization.

190261406412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448658 (or 448647 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 190261406412 in words is "one hundred ninety billion, two hundred sixty-one million, four hundred six thousand, four hundred twelve".