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13457474744 = 2376710733521
BaseRepresentation
bin11001000100010000…
…01100010010111000
31021201212121112211112
430202020030102320
5210030103142434
610103212215452
7654326435150
oct144210142270
937655545745
1013457474744
115786436a5a
122736a6a588
1313660b7a0c
14919411760
1553b6b9dce
hex32220c4b8

13457474744 has 64 divisors (see below), whose sum is σ = 29542268160. Its totient is φ = 5628142080.

The previous prime is 13457474713. The next prime is 13457474803. The reversal of 13457474744 is 44747475431.

It is a happy number.

It is a super-2 number, since 2×134574747442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13457474692 and 13457474701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384704 + ... + 418224.

It is an arithmetic number, because the mean of its divisors is an integer number (461597940).

Almost surely, 213457474744 is an apocalyptic number.

13457474744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457474744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771134080).

13457474744 is an abundant number, since it is smaller than the sum of its proper divisors (16084793416).

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

13457474744 is a wasteful number, since it uses less digits than its factorization.

13457474744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33708 (or 33704 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 50.

The spelling of 13457474744 in words is "thirteen billion, four hundred fifty-seven million, four hundred seventy-four thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 107 134 214 268 428 469 536 749 856 938 1498 1876 2996 3752 5992 7169 14338 28676 33521 50183 57352 67042 100366 134084 200732 234647 268168 401464 469294 938588 1877176 2245907 3586747 4491814 7173494 8983628 14346988 15721349 17967256 25107229 28693976 31442698 50214458 62885396 100428916 125770792 200857832 240312049 480624098 961248196 1682184343 1922496392 3364368686 6728737372 13457474744