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190083796416 = 263436667399
BaseRepresentation
bin1011000100000111100…
…0001000110111000000
3200011122021012100110000
42301001320020313000
511103242422441131
6223153455240000
716506311416323
oct2610170106700
9604567170400
10190083796416
1173683390728
1230a0a819000
1314c03ac10a7
1492b31327ba
154e27b19ce6
hex2c41e08dc0

190083796416 has 70 divisors (see below), whose sum is σ = 563467935800. Its totient is φ = 63361263744.

The previous prime is 190083796367. The next prime is 190083796429. The reversal of 190083796416 is 614697380091.

190083796416 is a `hidden beast` number, since 190 + 0 + 8 + 37 + 9 + 6 + 416 = 666.

It is a super-2 number, since 2×1900837964162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18328516 + ... + 18338883.

It is an arithmetic number, because the mean of its divisors is an integer number (8049541940).

Almost surely, 2190083796416 is an apocalyptic number.

190083796416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190083796416 is an abundant number, since it is smaller than the sum of its proper divisors (373384139384).

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

190083796416 is an equidigital number, since it uses as much as digits as its factorization.

190083796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36667423 (or 36667404 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 190083796416 in words is "one hundred ninety billion, eighty-three million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 36667399 73334798 110002197 146669596 220004394 293339192 330006591 440008788 586678384 660013182 880017576 990019773 1173356768 1320026364 1760035152 1980039546 2346713536 2640052728 2970059319 3520070304 3960079092 5280105456 5940118638 7040140608 7920158184 10560210912 11880237276 15840316368 21120421824 23760474552 31680632736 47520949104 63361265472 95041898208 190083796416