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1656443210640 = 2435171303331151
BaseRepresentation
bin11000000110101011101…
…101011000101110010000
312212100120101010122222020
4120012223231120232100
5204114343430220030
63304543130411440
7230450130656331
oct30065355305620
95770511118866
101656443210640
11589548011009
12229043590b80
13c028182212a
145a25aa3c288
152d14b95d510
hex181abb58b90

1656443210640 has 160 divisors (see below), whose sum is σ = 5437622969856. Its totient is φ = 415689523200.

The previous prime is 1656443210593. The next prime is 1656443210693. The reversal of 1656443210640 is 460123446561.

It is a super-2 number, since 2×16564432106402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1656443210592 and 1656443210601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53159065 + ... + 53190215.

Almost surely, 21656443210640 is an apocalyptic number.

1656443210640 is a gapful number since it is divisible by the number (10) 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 1656443210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718811484928).

1656443210640 is an abundant number, since it is smaller than the sum of its proper divisors (3781179759216).

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

1656443210640 is a wasteful number, since it uses less digits than its factorization.

1656443210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44217 (or 44211 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1656443210640 in words is "one trillion, six hundred fifty-six billion, four hundred forty-three million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13033 26066 31151 39099 52132 62302 65165 78198 93453 104264 124604 130330 155755 156396 186906 195495 208528 221561 249208 260660 311510 312792 373812 390990 443122 467265 498416 521320 529567 623020 625584 664683 747624 781980 886244 934530 1042640 1059134 1107805 1246040 1329366 1495248 1563960 1588701 1772488 1869060 2118268 2215610 2492080 2647835 2658732 3127920 3177402 3323415 3544976 3738120 4236536 4431220 5295670 5317464 6354804 6646830 7476240 7943505 8473072 8862440 10591340 10634928 12709608 13293660 15887010 17724880 21182680 25419216 26587320 31774020 42365360 53174640 63548040 127096080 405990983 811981966 1217972949 1623963932 2029954915 2435945898 3247927864 4059909830 4871891796 6089864745 6495855728 6901846711 8119819660 9743783592 12179729490 13803693422 16239639320 19487567184 20705540133 24359458980 27607386844 32479278640 34509233555 41411080266 48718917960 55214773688 69018467110 82822160532 97437835920 103527700665 110429547376 138036934220 165644321064 207055401330 276073868440 331288642128 414110802660 552147736880 828221605320 1656443210640