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76300997220 = 22345761731511
BaseRepresentation
bin100011100001111100…
…1001101001001100100
321021221112210021010000
41013003321031021210
52222231023402340
655015135101300
75340544526640
oct1070371151144
9237845707100
1076300997220
112a3a4a18598
1212955071830
13726c9a0086
14399b7b7c20
151eb88a2d30
hex11c3e4d264

76300997220 has 480 divisors, whose sum is σ = 282032948736. Its totient is φ = 16908134400.

The previous prime is 76300997081. The next prime is 76300997263. The reversal of 76300997220 is 2279900367.

It is a happy number.

76300997220 is a `hidden beast` number, since 7 + 630 + 0 + 9 + 9 + 7 + 2 + 2 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 50496265 + ... + 50497775.

Almost surely, 276300997220 is an apocalyptic number.

76300997220 is a gapful number since it is divisible by the number (70) 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 76300997220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141016474368).

76300997220 is an abundant number, since it is smaller than the sum of its proper divisors (205731951516).

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

76300997220 is a wasteful number, since it uses less digits than its factorization.

76300997220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 76300997220 in words is "seventy-six billion, three hundred million, nine hundred ninety-seven thousand, two hundred twenty".