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498368063261880 = 2332572329311272593
BaseRepresentation
bin111000101010000110101101…
…1011000001100110010111000
32102100120112002012200202211200
41301110031123120030302320
51010310230243143340010
64523535043321454200
7206654622124521060
oct16124153330146270
92370515065622750
10498368063261880
11134882788312339
1247a8b0a0041360
1318510ba307b096
148b0d2004163a0
153c93a6c676cc0
hex1c5435b60ccb8

498368063261880 has 2304 divisors, whose sum is σ = 2082500786995200. Its totient is φ = 100837117624320.

The previous prime is 498368063261837. The next prime is 498368063261899. The reversal of 498368063261880 is 88162360863894.

498368063261880 is a `hidden beast` number, since 4 + 9 + 8 + 368 + 0 + 63 + 26 + 188 + 0 = 666.

It is a super-2 number, since 2×4983680632618802 (a number of 30 digits) contains 22 as substring.

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 = 498368063261799 and 498368063261808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 840418318864 + ... + 840418319456.

It is an arithmetic number, because the mean of its divisors is an integer number (903863188800).

Almost surely, 2498368063261880 is an apocalyptic number.

498368063261880 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 498368063261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041250393497600).

498368063261880 is an abundant number, since it is smaller than the sum of its proper divisors (1584132723733320).

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

498368063261880 is a wasteful number, since it uses less digits than its factorization.

498368063261880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 498368063261880 in words is "four hundred ninety-eight trillion, three hundred sixty-eight billion, sixty-three million, two hundred sixty-one thousand, eight hundred eighty".