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1375746516 = 2232173220897
BaseRepresentation
bin101001000000000…
…0011100111010100
310112212201011102200
41102000003213110
510304142342031
6344303004500
746043436534
oct12200034724
93485634380
101375746516
116466337a1
12324899730
1318c0392c1
14d09db4c4
1580ba38e6
hex520039d4

1375746516 has 36 divisors (see below), whose sum is σ = 3497698932. Its totient is φ = 455929344.

The previous prime is 1375746503. The next prime is 1375746557. The reversal of 1375746516 is 6156475731.

1375746516 is a `hidden beast` number, since 1 + 3 + 7 + 574 + 65 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 712890000 + 662856516 = 26700^2 + 25746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13757465162 = 3785356952572276512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104221 + ... + 116676.

Almost surely, 21375746516 is an apocalyptic number.

It is an amenable number.

1375746516 is an abundant number, since it is smaller than the sum of its proper divisors (2121952416).

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

1375746516 is a wasteful number, since it uses less digits than its factorization.

1375746516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221080 (or 221075 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 1375746516 is about 37091.0570892769. The cubic root of 1375746516 is about 1112.1912496911.

The spelling of 1375746516 in words is "one billion, three hundred seventy-five million, seven hundred forty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 220897 441794 662691 883588 1325382 1988073 2650764 3976146 7952292 38215181 76430362 114645543 152860724 229291086 343936629 458582172 687873258 1375746516