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10704477010734 = 23213179457559217
BaseRepresentation
bin1001101111000101010010…
…0011001011101100101110
31101220100010102000100201200
42123301110203023230232
52400340232103320414
634433322512150330
72153241630212253
oct233612443135456
941810112010650
1010704477010734
11345781a231091
12124a7238383a6
135c8573cb0030
14290156c7742a
151386ac097109
hex9bc548cbb2e

10704477010734 has 96 divisors (see below), whose sum is σ = 25171654828320. Its totient is φ = 3268111988736.

The previous prime is 10704477010673. The next prime is 10704477010783. The reversal of 10704477010734 is 43701077440701.

10704477010734 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 447 + 70 + 107 + 34 = 666.

It is a super-2 number, since 2×107044770107342 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10704477010734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18862294 + ... + 19421510.

It is an arithmetic number, because the mean of its divisors is an integer number (262204737795).

Almost surely, 210704477010734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10704477010734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585827414160).

10704477010734 is an abundant number, since it is smaller than the sum of its proper divisors (14467177817586).

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

10704477010734 is a wasteful number, since it uses less digits than its factorization.

10704477010734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559874 (or 559871 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 10704477010734 in words is "ten trillion, seven hundred four billion, four hundred seventy-seven million, ten thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 358 457 537 914 1074 1371 1611 2327 2742 3222 4113 4654 5941 6981 8226 11882 13962 17823 20943 35646 41886 53469 81803 106938 163606 245409 490818 559217 736227 1063439 1118434 1472454 1677651 2126878 3190317 3355302 5032953 6380634 7269821 9570951 10065906 14539642 19141902 21809463 43618926 65428389 100099843 130856778 200199686 255562169 300299529 511124338 600599058 766686507 900898587 1301297959 1533373014 1801797174 2300059521 2602595918 3322308197 3903893877 4600119042 6644616394 7807787754 9966924591 11711681631 19933849182 23423363262 29900773773 45745628251 59801547546 91491256502 137236884753 274473769506 411710654259 594693167263 823421308518 1189386334526 1784079501789 3568159003578 5352238505367 10704477010734