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970652537089 = 2925326412
BaseRepresentation
bin11100001111111110110…
…01100101000100000001
310102210102102222211201021
432013333121211010001
5111400344022141324
62021524524305441
7130061450301454
oct16077731450401
93383372884637
10970652537089
11344719063714
121381516a2281
13706bc165481
1434da093d49b
151a3b0086ae4
hexe1ff665101

970652537089 has 27 divisors (see below), whose sum is σ = 1026203793979. Its totient is φ = 918064609280.

The previous prime is 970652537069. The next prime is 970652537117. The reversal of 970652537089 is 980735256079.

The square root of 970652537089 is 985217.

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

970652537089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3986028225 + 966666508864 = 63135^2 + 983192^2 .

It is not a de Polignac number, because 970652537089 - 213 = 970652528897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970652537069) 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, 1514278209 + ... + 1514278849.

Almost surely, 2970652537089 is an apocalyptic number.

970652537089 is the 985217-th square number.

970652537089 is the 492609-th centered octagonal number.

It is an amenable number.

970652537089 is a deficient number, since it is larger than the sum of its proper divisors (55551256890).

970652537089 is an frugal number, since it uses more digits than its factorization.

970652537089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 970652537089 in words is "nine hundred seventy billion, six hundred fifty-two million, five hundred thirty-seven thousand, eighty-nine".

Divisors: 1 29 53 641 841 1537 2809 18589 33973 44573 81461 410881 539081 985217 1800569 2362369 11915549 21776693 28571293 52216501 345550921 631524097 1154164729 1514278529 18314198813 33470777141 970652537089