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13400396352 = 263874797
BaseRepresentation
bin11000111101011100…
…11101001001000000
31021120220012200000000
430132232131021000
5204421000140402
610053413000000
7653034326640
oct143656351100
937526180000
1013400396352
1157571a1132
12271b923000
131357321815
149119d4520
15536692c1c
hex31eb9d240

13400396352 has 504 divisors, whose sum is σ = 47032737024. Its totient is φ = 3708592128.

The previous prime is 13400396333. The next prime is 13400396371. The reversal of 13400396352 is 25369300431.

It is a happy number.

13400396352 is a `hidden beast` number, since 13 + 4 + 0 + 0 + 3 + 9 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13400396333) and next prime (13400396371).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138148368 + ... + 138148464.

Almost surely, 213400396352 is an apocalyptic number.

13400396352 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 13400396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516368512).

13400396352 is an abundant number, since it is smaller than the sum of its proper divisors (33632340672).

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

13400396352 is an frugal number, since it uses more digits than its factorization.

13400396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 13400396352 its reverse (25369300431), we get a palindrome (38769696783).

The spelling of 13400396352 in words is "thirteen billion, four hundred million, three hundred ninety-six thousand, three hundred fifty-two".