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13774390956 = 2233475774703
BaseRepresentation
bin11001101010000010…
…01000011010101100
31022112221221120011000
430311001020122230
5211202221002311
610154453000300
7665225251134
oct146501103254
938487846130
1013774390956
115929314887
122805023090
1313b69593c1
14949549ac4
1555941b056
hex3350486ac

13774390956 has 96 divisors (see below), whose sum is σ = 36542177280. Its totient is φ = 4485030912.

The previous prime is 13774390849. The next prime is 13774390967. The reversal of 13774390956 is 65909347731.

It is a happy number.

13774390956 is a `hidden beast` number, since 137 + 74 + 390 + 9 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2926501 + ... + 2931203.

It is an arithmetic number, because the mean of its divisors is an integer number (380647680).

Almost surely, 213774390956 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 13774390956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271088640).

13774390956 is an abundant number, since it is smaller than the sum of its proper divisors (22767786324).

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

13774390956 is a wasteful number, since it uses less digits than its factorization.

13774390956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 13774390956 in words is "thirteen billion, seven hundred seventy-four million, three hundred ninety thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 577 846 1154 1269 1692 1731 2308 2538 3462 4703 5076 5193 6924 9406 10386 14109 15579 18812 20772 27119 28218 31158 42327 54238 56436 62316 81357 84654 108476 126981 162714 169308 221041 244071 253962 325428 442082 488142 507924 663123 732213 884164 976284 1326246 1464426 1989369 2652492 2713631 2928852 3978738 5427262 5968107 7957476 8140893 10854524 11936214 16281786 23872428 24422679 32563572 48845358 73268037 97690716 127540657 146536074 255081314 293072148 382621971 510162628 765243942 1147865913 1530487884 2295731826 3443597739 4591463652 6887195478 13774390956