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7980816501 = 3272941106543
BaseRepresentation
bin1110110111011000…
…11001100001110101
3202121012022111002100
413123230121201311
5112321042112001
63355532332313
7401525551410
oct73354314165
922535274070
107980816501
113425a65619
121668914099
139a2587538
14559d12b77
1531a9ab586
hex1dbb19875

7980816501 has 48 divisors (see below), whose sum is σ = 13961525760. Its totient is φ = 4295773440.

The previous prime is 7980816499. The next prime is 7980816509. The reversal of 7980816501 is 1056180897.

7980816501 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7980816501 - 21 = 7980816499 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980816509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21636 + ... + 128178.

It is an arithmetic number, because the mean of its divisors is an integer number (290865120).

Almost surely, 27980816501 is an apocalyptic number.

It is an amenable number.

7980816501 is a deficient number, since it is larger than the sum of its proper divisors (5980709259).

7980816501 is a wasteful number, since it uses less digits than its factorization.

7980816501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106626 (or 106623 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 7980816501 is about 89335.4157151574. The cubic root of 7980816501 is about 1998.4000955775.

The spelling of 7980816501 in words is "seven billion, nine hundred eighty million, eight hundred sixteen thousand, five hundred one".

Divisors: 1 3 7 9 21 29 41 63 87 123 203 261 287 369 609 861 1189 1827 2583 3567 8323 10701 24969 74907 106543 319629 745801 958887 2237403 3089747 4368263 6712209 9269241 13104789 21628229 27807723 30577841 39314367 64884687 91733523 126679627 194654061 275200569 380038881 886757389 1140116643 2660272167 7980816501