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6993151588896 = 2531140916191449
BaseRepresentation
bin110010111000011100001…
…0100001111101000100000
3220202112112202110122110120
41211300320110033220200
51404033433301321041
622512335352200240
71321144546506114
oct145607024175040
926675482418416
106993151588896
112256862840760
1294b3a0399080
133b95b3859875
141a2682899744
15c1d9437a366
hex65c3850fa20

6993151588896 has 96 divisors (see below), whose sum is σ = 20074807368000. Its totient is φ = 2113955450880.

The previous prime is 6993151588877. The next prime is 6993151588897. The reversal of 6993151588896 is 6988851513996.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6993151588897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7663821 + ... + 8527628.

It is an arithmetic number, because the mean of its divisors is an integer number (209112576750).

Almost surely, 26993151588896 is an apocalyptic number.

6993151588896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6993151588896 is an abundant number, since it is smaller than the sum of its proper divisors (13081655779104).

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

6993151588896 is a wasteful number, since it uses less digits than its factorization.

6993151588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16191882 (or 16191874 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 78.

The spelling of 6993151588896 in words is "six trillion, nine hundred ninety-three billion, one hundred fifty-one million, five hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 409 528 818 1056 1227 1636 2454 3272 4499 4908 6544 8998 9816 13088 13497 17996 19632 26994 35992 39264 53988 71984 107976 143968 215952 431904 16191449 32382898 48574347 64765796 97148694 129531592 178105939 194297388 259063184 356211878 388594776 518126368 534317817 712423756 777189552 1068635634 1424847512 1554379104 2137271268 2849695024 4274542536 5699390048 6622302641 8549085072 13244605282 17098170144 19866907923 26489210564 39733815846 52978421128 72845329051 79467631692 105956842256 145690658102 158935263384 211913684512 218535987153 291381316204 317870526768 437071974306 582762632408 635741053536 874143948612 1165525264816 1748287897224 2331050529632 3496575794448 6993151588896