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3475234941376 = 261153680313691
BaseRepresentation
bin110010100100100100001…
…001001110100111000000
3110022020012002122122212011
4302210210021032213000
5423414240121111001
611220300105342304
7506035363415362
oct62444411164700
913266162578764
103475234941376
11111a925586080
12481635197994
131c2937013923
14c02b904cd32
15605eb111d51
hex3292424e9c0

3475234941376 has 112 divisors (see below), whose sum is σ = 7666725644928. Its totient is φ = 1549506483200.

The previous prime is 3475234941331. The next prime is 3475234941377. The reversal of 3475234941376 is 6731494325743.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3475234941376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3475234941377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253826691 + ... + 253840381.

It is an arithmetic number, because the mean of its divisors is an integer number (68452907544).

Almost surely, 23475234941376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3475234941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833362822464).

3475234941376 is an abundant number, since it is smaller than the sum of its proper divisors (4191490703552).

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

3475234941376 is a wasteful number, since it uses less digits than its factorization.

3475234941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20570 (or 20560 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 58.

The spelling of 3475234941376 in words is "three trillion, four hundred seventy-five billion, two hundred thirty-four million, nine hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 583 704 848 1166 1696 2332 3392 4664 6803 9328 13606 13691 18656 27212 27382 37312 54424 54764 74833 108848 109528 149666 150601 217696 219056 299332 301202 360559 435392 438112 598664 602404 721118 725623 876224 1197328 1204808 1442236 1451246 2394656 2409616 2884472 2902492 3966149 4789312 4819232 5768944 5804984 7932298 7981853 9638464 11537888 11609968 15864596 15963706 23075776 23219936 31729192 31927412 46439872 63458384 63854824 93139873 126916768 127709648 186279746 253833536 255419296 372559492 510838592 745118984 1024538603 1490237968 2049077206 2980475936 4098154412 4936413269 5960951872 8196308824 9872826538 16392617648 19745653076 32785235296 39491306152 54300545959 65570470592 78982612304 108601091918 157965224608 217202183836 315930449216 434404367672 868808735344 1737617470688 3475234941376