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671006418420 = 2235132611084823
BaseRepresentation
bin10011100001110110001…
…10010110010111110100
32101010222120221211220010
421300323012112113310
541443210120342140
61232131152140220
766323110310112
oct11607306262764
92333876854803
10671006418420
112396326a2728
12aa066837670
134b37774b600
14246967d8ab2
15126c39cb880
hex9c3b1965f4

671006418420 has 144 divisors (see below), whose sum is σ = 2067813401472. Its totient is φ = 162462942720.

The previous prime is 671006418403. The next prime is 671006418421. The reversal of 671006418420 is 24814600176.

It is a super-2 number, since 2×6710064184202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671006418421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76129 + ... + 1160951.

It is an arithmetic number, because the mean of its divisors is an integer number (14359815288).

Almost surely, 2671006418420 is an apocalyptic number.

671006418420 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 671006418420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033906700736).

671006418420 is an abundant number, since it is smaller than the sum of its proper divisors (1396806983052).

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

671006418420 is a wasteful number, since it uses less digits than its factorization.

671006418420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084922 (or 1084907 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 671006418420 in words is "six hundred seventy-one billion, six million, four hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 169 183 195 244 260 305 338 366 390 507 610 676 732 780 793 845 915 1014 1220 1586 1690 1830 2028 2379 2535 3172 3380 3660 3965 4758 5070 7930 9516 10140 10309 11895 15860 20618 23790 30927 41236 47580 51545 61854 103090 123708 154635 206180 309270 618540 1084823 2169646 3254469 4339292 5424115 6508938 10848230 13017876 14102699 16272345 21696460 28205398 32544690 42308097 56410796 65089380 66174203 70513495 84616194 132348406 141026990 169232388 183335087 198522609 211540485 264696812 282053980 330871015 366670174 397045218 423080970 550005261 661742030 733340348 794090436 846161940 860264639 916675435 992613045 1100010522 1323484060 1720529278 1833350870 1985226090 2200021044 2580793917 2750026305 3441058556 3666701740 3970452180 4301323195 5161587834 5500052610 8602646390 10323175668 11000105220 11183440307 12903969585 17205292780 22366880614 25807939170 33550320921 44733761228 51615878340 55917201535 67100641842 111834403070 134201283684 167751604605 223668806140 335503209210 671006418420