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48736833432 = 2337877330787
BaseRepresentation
bin101101011000111100…
…010000111110011000
311122210112221122211220
4231120330100332120
51244303112132212
634220035252040
73343513151250
oct553074207630
9148715848756
1048736833432
111973a743341
129541a4a020
1347991601a1
142504a7a960
151403a2d38c
hexb58f10f98

48736833432 has 64 divisors (see below), whose sum is σ = 139407294720. Its totient is φ = 13908889728.

The previous prime is 48736833421. The next prime is 48736833461. The reversal of 48736833432 is 23433863784.

48736833432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×487368334323 (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18058 + ... + 312729.

It is an arithmetic number, because the mean of its divisors is an integer number (2178238980).

Almost surely, 248736833432 is an apocalyptic number.

48736833432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48736833432 is an abundant number, since it is smaller than the sum of its proper divisors (90670461288).

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

48736833432 is a wasteful number, since it uses less digits than its factorization.

48736833432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331680 (or 331676 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The spelling of 48736833432 in words is "forty-eight billion, seven hundred thirty-six million, eight hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 877 1754 2631 3508 5262 6139 7016 10524 12278 18417 21048 24556 36834 49112 73668 147336 330787 661574 992361 1323148 1984722 2315509 2646296 3969444 4631018 6946527 7938888 9262036 13893054 18524072 27786108 55572216 290100199 580200398 870300597 1160400796 1740601194 2030701393 2320801592 3481202388 4061402786 6092104179 6962404776 8122805572 12184208358 16245611144 24368416716 48736833432