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60080486400 = 211355211439
BaseRepresentation
bin110111111101000100…
…110111100000000000
312202002010000221100000
4313331010313200000
51441021101031100
643333421200000
74224564464634
oct677504674000
9182063027300
1060080486400
1123530960750
12b788a00000
13588632aa8c
142c9d444dc4
151869850900
hexdfd137800

60080486400 has 864 divisors, whose sum is σ = 243978134400. Its totient is φ = 14531788800.

The previous prime is 60080486363. The next prime is 60080486413. The reversal of 60080486400 is 468408006.

60080486400 is a `hidden beast` number, since 6 + 0 + 0 + 8 + 0 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136857381 + ... + 136857819.

It is an arithmetic number, because the mean of its divisors is an integer number (282382100).

Almost surely, 260080486400 is an apocalyptic number.

60080486400 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 60080486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121989067200).

60080486400 is an abundant number, since it is smaller than the sum of its proper divisors (183897648000).

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

60080486400 is a wasteful number, since it uses less digits than its factorization.

60080486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 60080486400 in words is "sixty billion, eighty million, four hundred eighty-six thousand, four hundred".