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1013645232348 = 2237193387716127
BaseRepresentation
bin11101100000000011111…
…01101100100011011100
310120220101200100001022220
432300001331230203130
5113101421134413343
62053355011105340
7133143034212360
oct16600175544334
93526350301286
101013645232348
11360980342a21
1214454b8a2250
1374781242418
14370bc7712a0
151b57966d183
hexec01f6c8dc

1013645232348 has 96 divisors (see below), whose sum is σ = 2717928751104. Its totient is φ = 288020164608.

The previous prime is 1013645232337. The next prime is 1013645232359. The reversal of 1013645232348 is 8432325463101.

1013645232348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013645232337) and next prime (1013645232359).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 62845861 + ... + 62861987.

It is an arithmetic number, because the mean of its divisors is an integer number (28311757824).

Almost surely, 21013645232348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013645232348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358964375552).

1013645232348 is an abundant number, since it is smaller than the sum of its proper divisors (1704283518756).

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

1013645232348 is a wasteful number, since it uses less digits than its factorization.

1013645232348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1013645232348 in words is "one trillion, thirteen billion, six hundred forty-five million, two hundred thirty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 3877 4053 5404 7754 8106 11631 15508 16127 16212 23262 27139 32254 46524 48381 54278 64508 81417 96762 108556 112889 162834 193524 225778 325668 338667 451556 677334 748261 1354668 1496522 2244783 2993044 3112511 4489566 5237827 6225022 8979132 9337533 10475654 12450044 15713481 18675066 20951308 21787577 31426962 37350132 43575154 62524379 62853924 65362731 87150308 125048758 130725462 187573137 250097516 261450924 375146274 437670653 750292548 875341306 1313011959 1750682612 2626023918 5252047836 12067205147 24134410294 36201615441 48268820588 72403230882 84470436029 144806461764 168940872058 253411308087 337881744116 506822616174 1013645232348