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2131816085476 = 22721121924992
BaseRepresentation
bin11111000001011010001…
…000111111011111100100
321112210120221001210111221
4133001122020333133210
5234411424404213401
64311202013110124
7310006250513200
oct37013210773744
97483527053457
102131816085476
11752109670900
122a51b0a88344
1312604c76b69c
147527521bb00
153a6c04c57a1
hex1f05a23f7e4

2131816085476 has 243 divisors, whose sum is σ = 5044542705027. Its totient is φ = 785286200160.

The previous prime is 2131816085473. The next prime is 2131816085501. The reversal of 2131816085476 is 6745806181312.

The square root of 2131816085476 is 1460074.

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

It is a super-2 number, since 2×21318160854762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131816085473) 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 80 ways as a sum of consecutive naturals, for example, 4272176275 + ... + 4272176773.

Almost surely, 22131816085476 is an apocalyptic number.

2131816085476 is the 1460074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131816085476

2131816085476 is an abundant number, since it is smaller than the sum of its proper divisors (2912726619551).

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

2131816085476 is a wasteful number, since it uses less digits than its factorization.

2131816085476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 2131816085476 in words is "two trillion, one hundred thirty-one billion, eight hundred sixteen million, eighty-five thousand, four hundred seventy-six".