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5930446336920 = 23325722153156151
BaseRepresentation
bin101011001001100101000…
…1001011011001110011000
3202222221112000001101011200
41112103022021123032120
51234131023230240140
620340224234354200
71151313663063300
oct126231211331630
922887460041150
105930446336920
1119870a7394976
127b943a58b960
1334031452ba41
1416706c5a0600
15a43e7b40030
hex564ca25b398

5930446336920 has 288 divisors, whose sum is σ = 22431275399520. Its totient is φ = 1354892313600.

The previous prime is 5930446336901. The next prime is 5930446336967. The reversal of 5930446336920 is 296336440395.

5930446336920 is a `hidden beast` number, since 5 + 93 + 0 + 4 + 463 + 3 + 6 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37900845 + ... + 38056995.

It is an arithmetic number, because the mean of its divisors is an integer number (77886372915).

Almost surely, 25930446336920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5930446336920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215637699760).

5930446336920 is an abundant number, since it is smaller than the sum of its proper divisors (16500829062600).

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

5930446336920 is a wasteful number, since it uses less digits than its factorization.

5930446336920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158335 (or 158321 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 5930446336920 in words is "five trillion, nine hundred thirty billion, four hundred forty-six million, three hundred thirty-six thousand, nine hundred twenty".