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3519139627969 = 7237272432
BaseRepresentation
bin110011001101011101000…
…100010100001111000001
3110110102111220001211101121
4303031131010110033001
5430124144221043334
611252400451232241
7512151363200200
oct63153504241701
913412456054347
103519139627969
111137505637a29
1248a0488a8681
131c6b13025314
14c248203d237
156181a7e2db4
hex3335d1143c1

3519139627969 has 27 divisors (see below), whose sum is σ = 4207904630307. Its totient is φ = 2934475722864.

The previous prime is 3519139627943. The next prime is 3519139627981. The reversal of 3519139627969 is 9697269319153.

The square root of 3519139627969 is 1875937.

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

It can be written as a sum of positive squares in only one way, i.e., 3148974466225 + 370165161744 = 1774535^2 + 608412^2 .

It is not a de Polignac number, because 3519139627969 - 211 = 3519139625921 is a prime.

It is a super-2 number, since 2×35191396279692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3519139627898 and 3519139627907.

It is not an unprimeable number, because it can be changed into a prime (3519139624969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 485864062 + ... + 485871304.

It is an arithmetic number, because the mean of its divisors is an integer number (155848319641).

Almost surely, 23519139627969 is an apocalyptic number.

3519139627969 is the 1875937-th square number.

3519139627969 is the 937969-th centered octagonal number.

It is an amenable number.

3519139627969 is a deficient number, since it is larger than the sum of its proper divisors (688765002338).

3519139627969 is an frugal number, since it uses more digits than its factorization.

3519139627969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14574 (or 7287 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 70.

The spelling of 3519139627969 in words is "three trillion, five hundred nineteen billion, one hundred thirty-nine million, six hundred twenty-seven thousand, nine hundred sixty-nine".

Divisors: 1 7 37 49 259 1369 1813 7243 9583 50701 67081 267991 354907 1875937 9915667 13131559 52461049 69409669 367227343 485867683 1941058813 2570591401 13587411691 71819176081 95111881837 502734232567 3519139627969