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10644545655760 = 2451997347208057
BaseRepresentation
bin1001101011100110000001…
…0111001101001111010000
31101200121102200121002020211
42122321200113031033100
52343400012141441020
634350011535213504
72146020523125652
oct232714027151720
941617380532224
1010644545655760
11343436557a055
12123ab98977294
135c2a12838a03
1428b2ad5726d2
15136d508a385a
hex9ae605cd3d0

10644545655760 has 160 divisors (see below), whose sum is σ = 26395669319040. Its totient is φ = 3980613943296.

The previous prime is 10644545655739. The next prime is 10644545655787. The reversal of 10644545655760 is 6755654544601.

It is a super-2 number, since 2×106445456557602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10644545655695 and 10644545655704.

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, 51057652 + ... + 51265708.

It is an arithmetic number, because the mean of its divisors is an integer number (164972933244).

Almost surely, 210644545655760 is an apocalyptic number.

10644545655760 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 10644545655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197834659520).

10644545655760 is an abundant number, since it is smaller than the sum of its proper divisors (15751123663280).

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

10644545655760 is a wasteful number, since it uses less digits than its factorization.

10644545655760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208533 (or 208527 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 58.

The spelling of 10644545655760 in words is "ten trillion, six hundred forty-four billion, five hundred forty-five million, six hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 347 380 388 485 694 760 776 970 1388 1520 1552 1735 1843 1940 2776 3470 3686 3880 5552 6593 6940 7372 7760 9215 13186 13880 14744 18430 26372 27760 29488 32965 33659 36860 52744 65930 67318 73720 105488 131860 134636 147440 168295 208057 263720 269272 336590 416114 527440 538544 639521 673180 832228 1040285 1279042 1346360 1664456 2080570 2558084 2692720 3197605 3328912 3953083 4161140 5116168 6395210 7906166 8322280 10232336 12790420 15812332 16644560 19765415 20181529 25580840 31624664 39530830 40363058 51161680 63249328 72195779 79061660 80726116 100907645 144391558 158123320 161452232 201815290 288783116 316246640 322904464 360978895 383449051 403630580 577566232 721957790 766898102 807261160 1155132464 1371719801 1443915580 1533796204 1614522320 1917245255 2743439602 2887831160 3067592408 3834490510 5486879204 5775662320 6135184816 6858599005 7002990563 7668981020 10973758408 13717198010 14005981126 15337962040 21947516816 27434396020 28011962252 30675924080 35014952815 54868792040 56023924504 70029905630 109737584080 112047849008 133056820697 140059811260 266113641394 280119622520 532227282788 560239245040 665284103485 1064454565576 1330568206970 2128909131152 2661136413940 5322272827880 10644545655760