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3790129423290 = 235767617436591
BaseRepresentation
bin110111001001110101010…
…100010110001110111010
3111102022222122011202200120
4313021311110112032322
5444044141113021130
612021054511114110
7540553640353410
oct67116524261672
914368878152616
103790129423290
111231426284061
12512676812936
1321653b865232
14d162c3892b0
15688cb1e0910
hex372755163ba

3790129423290 has 128 divisors (see below), whose sum is σ = 10568069111808. Its totient is φ = 852000145920.

The previous prime is 3790129423271. The next prime is 3790129423307. The reversal of 3790129423290 is 923249210973.

It is a super-3 number, since 3×37901294232903 (a number of 39 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8462895 + ... + 8899485.

It is an arithmetic number, because the mean of its divisors is an integer number (82563039936).

Almost surely, 23790129423290 is an apocalyptic number.

3790129423290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790129423290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284034555904).

3790129423290 is an abundant number, since it is smaller than the sum of its proper divisors (6777939688518).

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

3790129423290 is a wasteful number, since it uses less digits than its factorization.

3790129423290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437292.

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 3790129423290 in words is "three trillion, seven hundred ninety billion, one hundred twenty-nine million, four hundred twenty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 617 670 938 1005 1234 1407 1851 2010 2345 2814 3085 3702 4319 4690 6170 7035 8638 9255 12957 14070 18510 21595 25914 41339 43190 64785 82678 124017 129570 206695 248034 289373 413390 436591 578746 620085 868119 873182 1240170 1309773 1446865 1736238 2182955 2619546 2893730 3056137 4340595 4365910 6112274 6548865 8681190 9168411 13097730 15280685 18336822 29251597 30561370 45842055 58503194 87754791 91684110 146257985 175509582 204761179 269376647 292515970 409522358 438773955 538753294 614283537 808129941 877547910 1023805895 1228567074 1346883235 1616259882 1885636529 2047611790 2693766470 3071417685 3771273058 4040649705 5656909587 6142835370 8081299410 9428182645 11313819174 18048235349 18856365290 28284547935 36096470698 54144706047 56569095870 90241176745 108289412094 126337647443 180482353490 252675294886 270723530235 379012942329 541447060470 631688237215 758025884658 1263376474430 1895064711645 3790129423290