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10834360630320 = 24352316711752973
BaseRepresentation
bin1001110110101001001000…
…1101110111110000110000
31102100202101012221212102210
42131222102031313300300
52410002232310132240
635013123033012120
72165520361602153
oct235522215676060
942322335855383
1010834360630320
1134a7910140957
12126b931554040
136078a2a272c6
14296558ac9c9a
1513bc5eabc780
hex9da92377c30

10834360630320 has 160 divisors (see below), whose sum is σ = 35256665428992. Its totient is φ = 2746998639616.

The previous prime is 10834360630319. The next prime is 10834360630369. The reversal of 10834360630320 is 2303606343801.

It is a happy number.

10834360630320 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 31 ways as a sum of consecutive naturals, for example, 4954647 + ... + 6798326.

Almost surely, 210834360630320 is an apocalyptic number.

10834360630320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10834360630320 is an abundant number, since it is smaller than the sum of its proper divisors (24422304798672).

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

10834360630320 is a wasteful number, since it uses less digits than its factorization.

10834360630320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753179 (or 11753173 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 10834360630320 in words is "ten trillion, eight hundred thirty-four billion, three hundred sixty million, six hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 167 184 230 240 276 334 345 368 460 501 552 668 690 835 920 1002 1104 1336 1380 1670 1840 2004 2505 2672 2760 3340 3841 4008 5010 5520 6680 7682 8016 10020 11523 13360 15364 19205 20040 23046 30728 38410 40080 46092 57615 61456 76820 92184 115230 153640 184368 230460 307280 460920 921840 11752973 23505946 35258919 47011892 58764865 70517838 94023784 117529730 141035676 176294595 188047568 235059460 270318379 282071352 352589190 470118920 540636758 564142704 705178380 810955137 940237840 1081273516 1351591895 1410356760 1621910274 1962746491 2162547032 2703183790 2820713520 3243820548 3925492982 4054775685 4325094064 5406367580 5888239473 6487641096 7850985964 8109551370 9813732455 10812735160 11776478946 12975282192 15701971928 16219102740 19627464910 21625470320 23552957892 29441197365 31403943856 32438205480 39254929820 45143169293 47105915784 58882394730 64876410960 78509859640 90286338586 94211831568 117764789460 135429507879 157019719280 180572677172 225715846465 235529578920 270859015758 361145354344 451431692930 471059157840 541718031516 677147539395 722290708688 902863385860 1083436063032 1354295078790 1805726771720 2166872126064 2708590157580 3611453543440 5417180315160 10834360630320