Search a number
-
+
13143766090 = 25713109132511
BaseRepresentation
bin11000011110110110…
…11111010001001010
31020221000022111110111
430033123133101022
5203404301003330
610012124304534
7643500111520
oct141733372112
936830274414
1013143766090
11563534a004
1226699a214a
1313160ca2b0
148c98b0310
1551dd9e32a
hex30f6df44a

13143766090 has 64 divisors (see below), whose sum is σ = 29385861120. Its totient is φ = 4121591040.

The previous prime is 13143766079. The next prime is 13143766091. The reversal of 13143766090 is 9066734131.

It is not an unprimeable number, because it can be changed into a prime (13143766091) 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 31 ways as a sum of consecutive naturals, for example, 32935 + ... + 165445.

It is an arithmetic number, because the mean of its divisors is an integer number (459154080).

Almost surely, 213143766090 is an apocalyptic number.

13143766090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13143766090 is an abundant number, since it is smaller than the sum of its proper divisors (16242095030).

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

13143766090 is a wasteful number, since it uses less digits than its factorization.

13143766090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132647.

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 13143766090 in words is "thirteen billion, one hundred forty-three million, seven hundred sixty-six thousand, ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 109 130 182 218 455 545 763 910 1090 1417 1526 2834 3815 7085 7630 9919 14170 19838 49595 99190 132511 265022 662555 927577 1325110 1722643 1855154 3445286 4637885 8613215 9275770 12058501 14443699 17226430 24117002 28887398 60292505 72218495 101105893 120585010 144436990 187768087 202211786 375536174 505529465 938840435 1011058930 1314376609 1877680870 2628753218 6571883045 13143766090