Search a number
-
+
13773137984 = 26536176581
BaseRepresentation
bin11001101001111000…
…10110100001000000
31022112212120220101122
430310330112201000
5211201410403414
610154410051412
7665211512144
oct146474264100
938485526348
1013773137984
115928639471
122804719b68
1313b660acb8
14949301224
1555926eb8e
hex334f16840

13773137984 has 56 divisors (see below), whose sum is σ = 27896122008. Its totient is φ = 6744657920.

The previous prime is 13773137971. The next prime is 13773137993. The reversal of 13773137984 is 48973137731.

It can be written as a sum of positive squares in 4 ways, for example, as 54169600 + 13718968384 = 7360^2 + 117128^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089574 + ... + 2096154.

Almost surely, 213773137984 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 13773137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948061004).

13773137984 is an abundant number, since it is smaller than the sum of its proper divisors (14122984024).

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

13773137984 is an equidigital number, since it uses as much as digits as its factorization.

13773137984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7253 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 53.

The spelling of 13773137984 in words is "thirteen billion, seven hundred seventy-three million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 617 848 1234 1696 2468 3392 4936 6581 9872 13162 19744 26324 32701 39488 52648 65402 105296 130804 210592 261608 348793 421184 523216 697586 1046432 1395172 2092864 2790344 4060477 5580688 8120954 11161376 16241908 22322752 32483816 64967632 129935264 215205281 259870528 430410562 860821124 1721642248 3443284496 6886568992 13773137984