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7190870401 = 1121325932
BaseRepresentation
bin1101011001001101…
…11111100110000001
3200120010220001202101
412230212333212001
5104211330323101
63145313150401
7343124250511
oct65446774601
920503801671
107190870401
113060071400
12148825b401
138a7a14900
144c3043841
152c146d401
hex1ac9bf981

7190870401 has 27 divisors (see below), whose sum is σ = 8573242377. Its totient is φ = 6024120960.

The previous prime is 7190870389. The next prime is 7190870431. The reversal of 7190870401 is 1040780917.

The square root of 7190870401 is 84799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 529046001 + 6661824400 = 23001^2 + 81620^2 .

It is not a de Polignac number, because 7190870401 - 219 = 7190346113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7190870431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12125961 + ... + 12126553.

Almost surely, 27190870401 is an apocalyptic number.

7190870401 is the 84799-th square number.

7190870401 is the 42400-th centered octagonal number.

It is an amenable number.

7190870401 is a deficient number, since it is larger than the sum of its proper divisors (1382371976).

7190870401 is an equidigital number, since it uses as much as digits as its factorization.

7190870401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The cubic root of 7190870401 is about 1930.1622637340.

The spelling of 7190870401 in words is "seven billion, one hundred ninety million, eight hundred seventy thousand, four hundred one".

Divisors: 1 11 13 121 143 169 593 1573 1859 6523 7709 20449 71753 84799 100217 351649 932789 1102387 3868139 4571437 12126257 42549529 50285807 59428681 553143877 653715491 7190870401