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13146070600 = 2352132388937
BaseRepresentation
bin11000011111001000…
…10001111001001000
31020221011122120122201
430033210101321020
5203410343224400
610012245525544
7643525520305
oct141744217110
936834576581
1013146070600
115636683463
12266a7138b4
131316726200
148c9d100ac
1551e1a706a
hex30f911e48

13146070600 has 72 divisors (see below), whose sum is σ = 33096679110. Its totient is φ = 4853921280.

The previous prime is 13146070589. The next prime is 13146070643. The reversal of 13146070600 is 607064131.

It can be written as a sum of positive squares in 9 ways, for example, as 223382916 + 12922687684 = 14946^2 + 113678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160669 + ... + 228268.

Almost surely, 213146070600 is an apocalyptic number.

13146070600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13146070600 is an abundant number, since it is smaller than the sum of its proper divisors (19950608510).

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

13146070600 is a wasteful number, since it uses less digits than its factorization.

13146070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388979 (or 388957 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 13146070600 in words is "thirteen billion, one hundred forty-six million, seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 388937 777874 1555748 1944685 3111496 3889370 5056181 7778740 9723425 10112362 15557480 19446850 20224724 25280905 38893700 40449448 50561810 65730353 77787400 101123620 126404525 131460706 202247240 252809050 262921412 328651765 505618100 525842824 657303530 1011236200 1314607060 1643258825 2629214120 3286517650 6573035300 13146070600