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1052097415524 = 22321709532
BaseRepresentation
bin11110100111101011110…
…01001000100101100100
310201120122110220100022100
433103311321020211210
5114214143414244044
62123154334532100
7136003645322601
oct17236571104544
93646573810270
101052097415524
11376212621301
1214baa1367030
137829b72cc2c
1438cc954d6a8
151c57a312869
hexf4f5e48964

1052097415524 has 27 divisors (see below), whose sum is σ = 2659484023833. Its totient is φ = 350697087072.

The previous prime is 1052097415519. The next prime is 1052097415529. The reversal of 1052097415524 is 4255147902501.

The square root of 1052097415524 is 1025718.

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

1052097415524 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 97 + 4 + 1 + 552 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1052097415519) and next prime (1052097415529).

It can be written as a sum of positive squares in only one way, i.e., 944492422500 + 107604993024 = 971850^2 + 328032^2 .

It is a super-2 number, since 2×10520974155242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052097415524.

It is not an unprimeable number, because it can be changed into a prime (1052097415529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6068832 + ... + 6239784.

Almost surely, 21052097415524 is an apocalyptic number.

1052097415524 is the 1025718-th square number.

It is an amenable number.

1052097415524 is an abundant number, since it is smaller than the sum of its proper divisors (1607386608309).

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

1052097415524 is an frugal number, since it uses more digits than its factorization.

1052097415524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341916 (or 170958 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1052097415524 in words is "one trillion, fifty-two billion, ninety-seven million, four hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 170953 341906 512859 683812 1025718 1538577 2051436 3077154 6154308 29224928209 58449856418 87674784627 116899712836 175349569254 263024353881 350699138508 526048707762 1052097415524