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655998013440 = 21233572113171
BaseRepresentation
bin10011000101111001000…
…01110101000000000000
32022201020121222212202000
421202330201311000000
541221440442412230
61221210014024000
765252146053300
oct11427441650000
92281217885660
10655998013440
1123323085a950
12a71784a8000
1349b2524b9c3
1423a71427600
15120e60a6b60
hex98bc875000

655998013440 has 2496 divisors, whose sum is σ = 3098038026240. Its totient is φ = 130056192000.

The previous prime is 655998013417. The next prime is 655998013441. The reversal of 655998013440 is 44310899556.

655998013440 is a `hidden beast` number, since 6 + 5 + 599 + 8 + 0 + 1 + 3 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655998013441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9239408605 + ... + 9239408675.

Almost surely, 2655998013440 is an apocalyptic number.

655998013440 is a gapful number since it is divisible by the number (60) 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 655998013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549019013120).

655998013440 is an abundant number, since it is smaller than the sum of its proper divisors (2442040012800).

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

655998013440 is a wasteful number, since it uses less digits than its factorization.

655998013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 655998013440 in words is "six hundred fifty-five billion, nine hundred ninety-eight million, thirteen thousand, four hundred forty".