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5793380903376 = 2433111132307311
BaseRepresentation
bin101010001001110000001…
…1010010010100111010000
3202111211201200020220211000
41110103200122102213100
51224404321002402001
620153235322422000
71135362244112313
oct124234032224720
922454650226730
105793380903376
111933a60539a70
12796967661900
1333040c921101
141605889c497a
15a0a74889a86
hex544e06929d0

5793380903376 has 480 divisors, whose sum is σ = 18421510947840. Its totient is φ = 1728789350400.

The previous prime is 5793380903363. The next prime is 5793380903383. The reversal of 5793380903376 is 6733090833975.

5793380903376 is a `hidden beast` number, since 5 + 79 + 3 + 380 + 90 + 33 + 76 = 666.

It is a super-4 number, since 4×57933809033764 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18628234261 + ... + 18628234571.

It is an arithmetic number, because the mean of its divisors is an integer number (38378147808).

Almost surely, 25793380903376 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 5793380903376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210755473920).

5793380903376 is an abundant number, since it is smaller than the sum of its proper divisors (12628130044464).

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

5793380903376 is a wasteful number, since it uses less digits than its factorization.

5793380903376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 5793380903376 in words is "five trillion, seven hundred ninety-three billion, three hundred eighty million, nine hundred three thousand, three hundred seventy-six".