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20372978304 = 2733719127349
BaseRepresentation
bin10010111110010100…
…101111101010000000
31221120211100112022000
4102332110233222000
5313210440301204
613205331344000
71320601313130
oct227624575200
957524315260
1020372978304
118705019158
123b46a52000
131bc8a47a63
14db3a54ac0
157e3893039
hex4be52fa80

20372978304 has 512 divisors, whose sum is σ = 73113600000. Its totient is φ = 5455392768.

The previous prime is 20372978287. The next prime is 20372978309. The reversal of 20372978304 is 40387927302.

20372978304 is a `hidden beast` number, since 20 + 37 + 297 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20372978304.

It is not an unprimeable number, because it can be changed into a prime (20372978309) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 58375122 + ... + 58375470.

It is an arithmetic number, because the mean of its divisors is an integer number (142800000).

Almost surely, 220372978304 is an apocalyptic number.

20372978304 is a gapful number since it is divisible by the number (24) 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 20372978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556800000).

20372978304 is an abundant number, since it is smaller than the sum of its proper divisors (52740621696).

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

20372978304 is a wasteful number, since it uses less digits than its factorization.

20372978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20372978304 in words is "twenty billion, three hundred seventy-two million, nine hundred seventy-eight thousand, three hundred four".