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13698605376 = 2632312632917
BaseRepresentation
bin11001100001000000…
…00010000101000000
31022100200100020212200
430300200002011000
5211023320333001
610143144353200
7663315140001
oct146040020500
938320306780
1013698605376
11589a561a75
1227a3775800
1313a4043371
1493d45d1a8
1555294b086
hex330802140

13698605376 has 168 divisors, whose sum is σ = 40699236864. Its totient is φ = 4400593920.

The previous prime is 13698605369. The next prime is 13698605381. The reversal of 13698605376 is 67350689631.

13698605376 is a `hidden beast` number, since 13 + 6 + 98 + 6 + 0 + 537 + 6 = 666.

It is a super-2 number, since 2×136986053762 (a number of 21 digits) contains 22 as substring.

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, 4694670 + ... + 4697586.

Almost surely, 213698605376 is an apocalyptic number.

13698605376 is a gapful number since it is divisible by the number (16) 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 13698605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349618432).

13698605376 is an abundant number, since it is smaller than the sum of its proper divisors (27000631488).

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

13698605376 is a wasteful number, since it uses less digits than its factorization.

13698605376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13698605376 in words is "thirteen billion, six hundred ninety-eight million, six hundred five thousand, three hundred seventy-six".