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13690052352 = 2835312229
BaseRepresentation
bin11001011111111110…
…11001111100000000
31022100002020201100000
430233333121330000
5211014123133402
610142241200000
7663152345034
oct145777317400
938302221300
1013690052352
11589574aa59
1227a0930000
1313a233a2c2
1493c2741c4
15551d0bc1c
hex32ffd9f00

13690052352 has 324 divisors, whose sum is σ = 42481453560. Its totient is φ = 4396861440.

The previous prime is 13690052297. The next prime is 13690052377. The reversal of 13690052352 is 25325009631.

It is a tau number, because it is divible by the number of its divisors (324).

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 35 ways as a sum of consecutive naturals, for example, 59781774 + ... + 59782002.

Almost surely, 213690052352 is an apocalyptic number.

13690052352 is a gapful number since it is divisible by the number (12) 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 13690052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240726780).

13690052352 is an abundant number, since it is smaller than the sum of its proper divisors (28791401208).

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

13690052352 is an frugal number, since it uses more digits than its factorization.

13690052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13690052352 in words is "thirteen billion, six hundred ninety million, fifty-two thousand, three hundred fifty-two".