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13576910400 = 2632529712

13576910400 has 189 divisors, whose sum is σ = 48305293153. Its totient is φ = 3616780800.

The previous prime is 13576910393. The next prime is 13576910401. The reversal of 13576910400 is 401967531.

The square root of 13576910400 is 116520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4887687744 + 8689222656 = 69912^2 + 93216^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13576910401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13981915 + ... + 13982885.

Almost surely, 213576910400 is an apocalyptic number.

13576910400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13576910400 is the 116520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13576910400

13576910400 is an abundant number, since it is smaller than the sum of its proper divisors (34728382753).

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

13576910400 is an frugal number, since it uses more digits than its factorization.

13576910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 13576910400 by its sum of digits (36), we get a square (488768774400 = 6991202).

13576910400 divided by its sum of digits (36) gives a square (377136400 = 194202).

The spelling of 13576910400 in words is "thirteen billion, five hundred seventy-six million, nine hundred ten thousand, four hundred".