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1041038617969 = 721457592
BaseRepresentation
bin11110010011000101011…
…11001010110101110001
310200112002202211012222201
433021202233022311301
5114024021341233334
62114125130303201
7135132623151400
oct17114257126561
93615082735881
101041038617969
11371558183a99
12149915887b01
1377228589a3c
143855a935637
151c12e50bc14
hexf262bcad71

1041038617969 has 9 divisors (see below), whose sum is σ = 1211012414937. Its totient is φ = 892312693524.

The previous prime is 1041038617951. The next prime is 1041038617999. The reversal of 1041038617969 is 9697168301401.

The square root of 1041038617969 is 1020313.

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

It is not a de Polignac number, because 1041038617969 - 235 = 1006678879601 is a prime.

It is a super-2 number, since 2×10410386179692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041038617939) 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, 7069312 + ... + 7215070.

It is an arithmetic number, because the mean of its divisors is an integer number (134556934993).

Almost surely, 21041038617969 is an apocalyptic number.

1041038617969 is the 1020313-rd square number.

1041038617969 is the 510157-th centered octagonal number.

It is an amenable number.

1041038617969 is a deficient number, since it is larger than the sum of its proper divisors (169973796968).

1041038617969 is an frugal number, since it uses more digits than its factorization.

1041038617969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291532 (or 145766 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 1041038617969 in words is "one trillion, forty-one billion, thirty-eight million, six hundred seventeen thousand, nine hundred sixty-nine".

Divisors: 1 7 49 145759 1020313 7142191 21245686081 148719802567 1041038617969