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190937537296 = 2411299312
BaseRepresentation
bin1011000111010011000…
…0111001101100010000
3200020211202122212202121
42301310300321230100
511112020002143141
6223414314024024
716536416200642
oct2616460715420
9606752585677
10190937537296
1173a81297900
1231008718014
131500b93bccc
14935468a892
154e77a5a1d1
hex2c74c39b10

190937537296 has 45 divisors (see below), whose sum is σ = 406670839239. Its totient is φ = 86781050400.

The previous prime is 190937537293. The next prime is 190937537303. The reversal of 190937537296 is 692735739091.

The square root of 190937537296 is 436964.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1909375372962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190937537291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19221451 + ... + 19231381.

Almost surely, 2190937537296 is an apocalyptic number.

190937537296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

190937537296 is the 436964-th square number.

It is an amenable number.

190937537296 is an abundant number, since it is smaller than the sum of its proper divisors (215733301943).

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

190937537296 is an frugal number, since it uses more digits than its factorization.

190937537296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19892 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 61.

The spelling of 190937537296 in words is "one hundred ninety billion, nine hundred thirty-seven million, five hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 9931 19862 39724 79448 109241 158896 218482 436964 873928 1201651 1747856 2403302 4806604 9613208 19226416 98624761 197249522 394499044 788998088 1084872371 1577996176 2169744742 4339489484 8678978968 11933596081 17357957936 23867192162 47734384324 95468768648 190937537296