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13410079416 = 233543160423
BaseRepresentation
bin11000111110100110…
…11001001010111000
31021121120102121200000
430133103121022320
5204430440020131
610054400313000
7653212536306
oct143723311270
937546377600
1013410079416
115761705168
122723012760
131359332046
14912dd5276
15537456ce6
hex31f4d92b8

13410079416 has 96 divisors (see below), whose sum is σ = 38540261760. Its totient is φ = 4366045152.

The previous prime is 13410079409. The next prime is 13410079453. The reversal of 13410079416 is 61497001431.

13410079416 is a `hidden beast` number, since 134 + 100 + 7 + 9 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3381 + ... + 163803.

It is an arithmetic number, because the mean of its divisors is an integer number (401461060).

Almost surely, 213410079416 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 13410079416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270130880).

13410079416 is an abundant number, since it is smaller than the sum of its proper divisors (25130182344).

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

13410079416 is a wasteful number, since it uses less digits than its factorization.

13410079416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160487 (or 160471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13410079416 in words is "thirteen billion, four hundred ten million, seventy-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 972 1032 1161 1548 1944 2322 3096 3483 4644 6966 9288 10449 13932 20898 27864 41796 83592 160423 320846 481269 641692 962538 1283384 1443807 1925076 2887614 3850152 4331421 5775228 6898189 8662842 11550456 12994263 13796378 17325684 20694567 25988526 27592756 34651368 38982789 41389134 51977052 55185512 62083701 77965578 82778268 103954104 124167402 155931156 165556536 186251103 248334804 311862312 372502206 496669608 558753309 745004412 1117506618 1490008824 1676259927 2235013236 3352519854 4470026472 6705039708 13410079416