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668506890072 = 233735315837121
BaseRepresentation
bin10011011101001100001…
…11011001111101011000
32100220112101122122121010
421232212013121331120
541423100230440242
61231035142413520
766204136544340
oct11564607317530
92326471578533
10668506890072
1123856a79101a
12a96897312a0
134b069955a58
14244da86bd20
15125c934589c
hex9ba61d9f58

668506890072 has 128 divisors (see below), whose sum is σ = 1916909660160. Its totient is φ = 190313840640.

The previous prime is 668506890043. The next prime is 668506890133. The reversal of 668506890072 is 270098605866.

It is a junction number, because it is equal to n+sod(n) for n = 668506889994 and 668506890021.

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, 93874672 + ... + 93881792.

It is an arithmetic number, because the mean of its divisors is an integer number (14975856720).

Almost surely, 2668506890072 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 668506890072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958454830080).

668506890072 is an abundant number, since it is smaller than the sum of its proper divisors (1248402770088).

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

668506890072 is a wasteful number, since it uses less digits than its factorization.

668506890072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 668506890072 in words is "six hundred sixty-eight billion, five hundred six million, eight hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 353 706 1059 1412 1583 2118 2471 2824 3166 4236 4749 4942 6332 7121 7413 8472 9498 9884 11081 12664 14242 14826 18996 19768 21363 22162 28484 29652 33243 37992 42726 44324 49847 56968 59304 66486 85452 88648 99694 132972 149541 170904 199388 265944 299082 398776 558799 598164 1117598 1196328 1676397 2235196 2513713 3352794 3911593 4470392 5027426 6705588 7541139 7823186 10054852 11272543 11734779 13411176 15082278 15646372 17595991 20109704 22545086 23469558 30164556 31292744 33817629 35191982 45090172 46939116 52787973 60329112 67635258 70383964 78907801 90180344 93878232 105575946 135270516 140767928 157815602 211151892 236723403 270541032 315631204 422303784 473446806 631262408 946893612 1893787224 3979207679 7958415358 11937623037 15916830716 23875246074 27854453753 31833661432 47750492148 55708907506 83563361259 95500984296 111417815012 167126722518 222835630024 334253445036 668506890072