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5335319976 = 2337314992053
BaseRepresentation
bin1001111100000001…
…01000010110101000
3111202211100100002120
410332000220112220
541411320214401
62241230231240
7246133320510
oct47600502650
914684310076
105335319976
112298715958
12104a955520
13670474c8c
1438882a840
152135e0836
hex13e0285a8

5335319976 has 128 divisors (see below), whose sum is σ = 15774720000. Its totient is φ = 1471530240.

The previous prime is 5335319971. The next prime is 5335319981. The reversal of 5335319976 is 6799135335.

It is an interprime number because it is at equal distance from previous prime (5335319971) and next prime (5335319981).

It is not an unprimeable number, because it can be changed into a prime (5335319971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597766 + ... + 2599818.

It is an arithmetic number, because the mean of its divisors is an integer number (123240000).

Almost surely, 25335319976 is an apocalyptic number.

5335319976 is a gapful number since it is divisible by the number (56) 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 5335319976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887360000).

5335319976 is an abundant number, since it is smaller than the sum of its proper divisors (10439400024).

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

5335319976 is a wasteful number, since it uses less digits than its factorization.

5335319976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2595 counting only the distinct ones).

The product of its digits is 2296350, while the sum is 51.

The square root of 5335319976 is about 73043.2746801511. The cubic root of 5335319976 is about 1747.3778390702.

The spelling of 5335319976 in words is "five billion, three hundred thirty-five million, three hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 499 651 744 868 998 1302 1497 1736 1996 2053 2604 2994 3493 3992 4106 5208 5988 6159 6986 8212 10479 11976 12318 13972 14371 15469 16424 20958 24636 27944 28742 30938 41916 43113 46407 49272 57484 61876 63643 83832 86226 92814 108283 114968 123752 127286 172452 185628 190929 216566 254572 324849 344904 371256 381858 433132 445501 509144 649698 763716 866264 891002 1024447 1299396 1336503 1527432 1782004 2048894 2598792 2673006 3073341 3564008 4097788 5346012 6146682 7171129 8195576 10692024 12293364 14342258 21513387 24586728 28684516 31757857 43026774 57369032 63515714 86053548 95273571 127031428 172107096 190547142 222304999 254062856 381094284 444609998 666914997 762188568 889219996 1333829994 1778439992 2667659988 5335319976