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490163627520 = 29325717317379
BaseRepresentation
bin1110010001000000000…
…01110110011000000000
31201212012100100012212200
413020200001312120000
531012323342040040
61013102243353200
750261466042510
oct7104001663000
91655170305780
10490163627520
11179971653246
127abb6982800
13372b7321228
1419a1cad5840
15cb3c2e7630
hex7220076600

490163627520 has 1920 divisors, whose sum is σ = 2176729251840. Its totient is φ = 99373547520.

The previous prime is 490163627491. The next prime is 490163627531. The reversal of 490163627520 is 25726361094.

490163627520 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 63 + 62 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6204602841 + ... + 6204602919.

It is an arithmetic number, because the mean of its divisors is an integer number (1133713152).

Almost surely, 2490163627520 is an apocalyptic number.

490163627520 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 490163627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088364625920).

490163627520 is an abundant number, since it is smaller than the sum of its proper divisors (1686565624320).

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

490163627520 is a wasteful number, since it uses less digits than its factorization.

490163627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 490163627520 in words is "four hundred ninety billion, one hundred sixty-three million, six hundred twenty-seven thousand, five hundred twenty".