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11898421698240 = 26345711171918457
BaseRepresentation
bin1010110100100101000100…
…1100101101111011000000
31120010110220110120201120000
42231021101030231323000
53024420431423320430
641150020502320000
72335426660465110
oct255112114557300
946113813521500
1011898421698240
113878101948290
121401bb1429000
13684029c0379c
142d1c5b0b5040
1515978a370e60
hexad25132dec0

11898421698240 has 2240 divisors, whose sum is σ = 58816437672960. Its totient is φ = 2204372828160.

The previous prime is 11898421698197. The next prime is 11898421698253. The reversal of 11898421698240 is 4289612489811.

11898421698240 is a `hidden beast` number, since 1 + 1 + 8 + 98 + 4 + 216 + 98 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 644647092 + ... + 644665548.

Almost surely, 211898421698240 is an apocalyptic number.

11898421698240 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 11898421698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408218836480).

11898421698240 is an abundant number, since it is smaller than the sum of its proper divisors (46918015974720).

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

11898421698240 is a wasteful number, since it uses less digits than its factorization.

11898421698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18540 (or 18521 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 11898421698240 in words is "eleven trillion, eight hundred ninety-eight billion, four hundred twenty-one million, six hundred ninety-eight thousand, two hundred forty".