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4987363358880 = 253357234770271
BaseRepresentation
bin100100010010011011000…
…0001010111100010100000
3122122210020221001020122000
41020210312001113202200
51123203110004441010
614335055121244000
71023216341040630
oct110446601274240
918583227036560
104987363358880
111653146661001
12686701a93600
132a23ca075126
141335653a46c0
1589aed1467c0
hex489360578a0

4987363358880 has 384 divisors, whose sum is σ = 19958237429760. Its totient is φ = 1139466839040.

The previous prime is 4987363358839. The next prime is 4987363358881. The reversal of 4987363358880 is 888533637894.

It is a happy number.

4987363358880 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 3 + 6 + 33 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4987363358799 and 4987363358808.

It is not an unprimeable number, because it can be changed into a prime (4987363358881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70938145 + ... + 71008415.

It is an arithmetic number, because the mean of its divisors is an integer number (51974576640).

Almost surely, 24987363358880 is an apocalyptic number.

4987363358880 is a gapful number since it is divisible by the number (40) 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 4987363358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979118714880).

4987363358880 is an abundant number, since it is smaller than the sum of its proper divisors (14970874070880).

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

4987363358880 is a wasteful number, since it uses less digits than its factorization.

4987363358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72649 (or 72635 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 4987363358880 in words is "four trillion, nine hundred eighty-seven billion, three hundred sixty-three million, three hundred fifty-eight thousand, eight hundred eighty".