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13198489920 = 2634571117389
BaseRepresentation
bin11000100101011000…
…01111100101000000
31021001211021202110000
430102230033211000
5204012303134140
610021401240000
7645033212310
oct142254174500
937054252400
1013198489920
115663226910
122684193000
13132454a865
148d2c77440
15523aada30
hex312b0f940

13198489920 has 1120 divisors, whose sum is σ = 62136771840. Its totient is φ = 2574581760.

The previous prime is 13198489919. The next prime is 13198489943. The reversal of 13198489920 is 2998489131.

13198489920 is a `hidden beast` number, since 131 + 9 + 8 + 489 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33929086 + ... + 33929474.

Almost surely, 213198489920 is an apocalyptic number.

13198489920 is a gapful number since it is divisible by the number (10) 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 13198489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31068385920).

13198489920 is an abundant number, since it is smaller than the sum of its proper divisors (48938281920).

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

13198489920 is a wasteful number, since it uses less digits than its factorization.

13198489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 13198489920 in words is "thirteen billion, one hundred ninety-eight million, four hundred eighty-nine thousand, nine hundred twenty".