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67413641700 = 223522311386461
BaseRepresentation
bin111110110010001010…
…101000100111100100
320110000011122211021110
4332302022220213210
52101030343013300
650545220145020
74604400333306
oct766212504744
9213004584243
1067413641700
1126654274879
1211094838170
13648466ca22
143397325976
151b48527550
hexfb22a89e4

67413641700 has 144 divisors (see below), whose sum is σ = 205334107776. Its totient is φ = 17042995200.

The previous prime is 67413641651. The next prime is 67413641717. The reversal of 67413641700 is 714631476.

67413641700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736470 + ... + 822930.

It is an arithmetic number, because the mean of its divisors is an integer number (1425931304).

Almost surely, 267413641700 is an apocalyptic number.

67413641700 is a gapful number since it is divisible by the number (60) 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 67413641700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102667053888).

67413641700 is an abundant number, since it is smaller than the sum of its proper divisors (137920466076).

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

67413641700 is a wasteful number, since it uses less digits than its factorization.

67413641700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86614 (or 86607 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 67413641700 in words is "sixty-seven billion, four hundred thirteen million, six hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 113 115 138 150 226 230 276 300 339 345 452 460 565 575 678 690 1130 1150 1356 1380 1695 1725 2260 2300 2599 2825 3390 3450 5198 5650 6780 6900 7797 8475 10396 11300 12995 15594 16950 25990 31188 33900 38985 51980 64975 77970 86461 129950 155940 172922 194925 259383 259900 345844 389850 432305 518766 779700 864610 1037532 1296915 1729220 1988603 2161525 2593830 3977206 4323050 5187660 5965809 6484575 7954412 8646100 9770093 9943015 11931618 12969150 19540186 19886030 23863236 25938300 29310279 29829045 39080372 39772060 48850465 49715075 58620558 59658090 97700930 99430150 117241116 119316180 146551395 149145225 195401860 198860300 224712139 244252325 293102790 298290450 449424278 488504650 586205580 596580900 674136417 732756975 898848556 977009300 1123560695 1348272834 1465513950 2247121390 2696545668 2931027900 3370682085 4494242780 5617803475 6741364170 11235606950 13482728340 16853410425 22471213900 33706820850 67413641700