Search a number
-
+
6779553097944 = 23311314911687151
BaseRepresentation
bin110001010100111110011…
…0110101010100011011000
3220000010012201020001021010
41202221330312222203120
51342034011043113234
622230252251213520
71266543434341644
oct142517466524330
926003181201233
106779553097944
112184212a87a90
12915b0a7472a0
133a240317ac53
141961bc779c24
15bb5421836e9
hex62a7cdaa8d8

6779553097944 has 128 divisors (see below), whose sum is σ = 19125015183360. Its totient is φ = 1984088400000.

The previous prime is 6779553097939. The next prime is 6779553097991. The reversal of 6779553097944 is 4497903559776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174769 + ... + 4861919.

It is an arithmetic number, because the mean of its divisors is an integer number (149414181120).

Almost surely, 26779553097944 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 6779553097944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562507591680).

6779553097944 is an abundant number, since it is smaller than the sum of its proper divisors (12345462085416).

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

6779553097944 is a wasteful number, since it uses less digits than its factorization.

6779553097944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687693 (or 1687689 counting only the distinct ones).

The product of its (nonzero) digits is 1800338400, while the sum is 75.

The spelling of 6779553097944 in words is "six trillion, seven hundred seventy-nine billion, five hundred fifty-three million, ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 491 682 744 982 1023 1364 1473 1964 2046 2728 2946 3928 4092 5401 5892 8184 10802 11784 15221 16203 21604 30442 32406 43208 45663 60884 64812 91326 121768 129624 167431 182652 334862 365304 502293 669724 1004586 1339448 1687151 2009172 3374302 4018344 5061453 6748604 10122906 13497208 18558661 20245812 37117322 40491624 52301681 55675983 74234644 104603362 111351966 148469288 156905043 209206724 222703932 313810086 418413448 445407864 575318491 627620172 828391141 1150636982 1255240344 1656782282 1725955473 2301273964 2485173423 3313564564 3451910946 4602547928 4970346846 6627129128 6903821892 9112302551 9940693692 13807643784 18224605102 19881387384 25680125371 27336907653 36449210204 51360250742 54673815306 72898420408 77040376113 102720501484 109347630612 154080752226 205441002968 218695261224 282481379081 308161504452 564962758162 616323008904 847444137243 1129925516324 1694888274486 2259851032648 3389776548972 6779553097944