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1013743468164 = 2237291392993891
BaseRepresentation
bin11101100000001111101…
…00011011111010000100
310120220122112011221112110
432300013310123322010
5113102121311440124
62053412440421020
7133145336206230
oct16600764337204
93526575157473
101013743468164
11360a20839a49
12144578777770
13747986b8c1b
14370cb8235c0
151b5830c5029
hexec07d1be84

1013743468164 has 96 divisors (see below), whose sum is σ = 2816653593600. Its totient is φ = 277641383040.

The previous prime is 1013743468151. The next prime is 1013743468217. The reversal of 1013743468164 is 4618643473101.

1013743468164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158342 + ... + 1835549.

It is an arithmetic number, because the mean of its divisors is an integer number (29340141600).

Almost surely, 21013743468164 is an apocalyptic number.

1013743468164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1013743468164 is an abundant number, since it is smaller than the sum of its proper divisors (1802910125436).

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

1013743468164 is a wasteful number, since it uses less digits than its factorization.

1013743468164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994073 (or 2994071 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1013743468164 in words is "one trillion, thirteen billion, seven hundred forty-three million, four hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 139 174 203 278 348 406 417 556 609 812 834 973 1218 1668 1946 2436 2919 3892 4031 5838 8062 11676 12093 16124 24186 28217 48372 56434 84651 112868 169302 338604 2993891 5987782 8981673 11975564 17963346 20957237 35926692 41914474 62871711 83828948 86822839 125743422 173645678 251486844 260468517 347291356 416150849 520937034 607759873 832301698 1041874068 1215519746 1248452547 1664603396 1823279619 2431039492 2496905094 2913055943 3646559238 4993810188 5826111886 7293118476 8739167829 11652223772 12068374621 17478335658 24136749242 34956671316 36205123863 48273498484 72410247726 84478622347 144820495452 168957244694 253435867041 337914489388 506871734082 1013743468164