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87503063187456 = 21533732961163
BaseRepresentation
bin10011111001010101100100…
…111111111000000000000000
3102110211012200220221202111000
4103321111210333320000000
542432122233133444311
6510034204032052000
724300613322664000
oct2371254477700000
9373735626852430
1087503063187456
1125976927a72a64
12999281a994000
1339a9671114867
141787256b84000
15a1b24eb42056
hex4f9564ff8000

87503063187456 has 2048 divisors, whose sum is σ = 319852742400000. Its totient is φ = 23597395476480.

The previous prime is 87503063187439. The next prime is 87503063187509. The reversal of 87503063187456 is 65478136030578.

It is a happy number.

87503063187456 is a `hidden beast` number, since 8 + 7 + 5 + 0 + 306 + 318 + 7 + 4 + 5 + 6 = 666.

87503063187456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a junction number, because it is equal to n+sod(n) for n = 87503063187393 and 87503063187402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 536828608431 + ... + 536828608593.

It is an arithmetic number, because the mean of its divisors is an integer number (156178096875).

Almost surely, 287503063187456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87503063187456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159926371200000).

87503063187456 is an abundant number, since it is smaller than the sum of its proper divisors (232349679212544).

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

87503063187456 is an equidigital number, since it uses as much as digits as its factorization.

87503063187456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 87503063187456 in words is "eighty-seven trillion, five hundred three billion, sixty-three million, one hundred eighty-seven thousand, four hundred fifty-six".