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103191662844 = 223261439710687
BaseRepresentation
bin110000000011010110…
…0111101000011111100
3100212100121022121120200
41200012230331003330
53142314031202334
6115223335243500
710312120442664
oct1400654750374
9325317277520
10103191662844
113a844004696
1217bba819590
139966b1c53a
144dcccb91a4
152a3e53c799
hex1806b3d0fc

103191662844 has 72 divisors (see below), whose sum is σ = 265206859008. Its totient is φ = 33822472320.

The previous prime is 103191662813. The next prime is 103191662911. The reversal of 103191662844 is 448266191301.

103191662844 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 9 + 16 + 628 + 4 + 4 = 666.

103191662844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103191662844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9650469 + ... + 9661155.

Almost surely, 2103191662844 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 103191662844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132603429504).

103191662844 is an abundant number, since it is smaller than the sum of its proper divisors (162015196164).

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

103191662844 is a wasteful number, since it uses less digits than its factorization.

103191662844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103191662844 in words is "one hundred three billion, one hundred ninety-one million, six hundred sixty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4397 8794 10687 13191 17588 21374 26382 32061 39573 42748 52764 64122 79146 96183 128244 158292 192366 268217 384732 536434 651907 804651 1072868 1303814 1609302 1955721 2413953 2607628 3218604 3911442 4827906 5867163 7822884 9655812 11734326 23468652 46990739 93981478 140972217 187962956 281944434 422916651 563888868 845833302 1691666604 2866435079 5732870158 8599305237 11465740316 17198610474 25797915711 34397220948 51595831422 103191662844