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4049423796960 = 253252812099859
BaseRepresentation
bin111010111011010100011…
…101111000101011100000
3112100010021022021201120200
4322323110131320223200
51012321204443000320
612340140221305200
7565363332231453
oct72732435705340
915303238251520
104049423796960
11132139518a863
1255497ba05200
13234b223822c9
14dddc931d49a
1570504e83290
hex3aed4778ae0

4049423796960 has 72 divisors (see below), whose sum is σ = 13818658712040. Its totient is φ = 1079846345472.

The previous prime is 4049423796893. The next prime is 4049423797087. The reversal of 4049423796960 is 696973249404.

4049423796960 is a `hidden beast` number, since 4 + 0 + 494 + 23 + 7 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1406048490 + ... + 1406051369.

It is an arithmetic number, because the mean of its divisors is an integer number (191925815445).

Almost surely, 24049423796960 is an apocalyptic number.

4049423796960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4049423796960 is an abundant number, since it is smaller than the sum of its proper divisors (9769234915080).

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

4049423796960 is a wasteful number, since it uses less digits than its factorization.

4049423796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812099880 (or 2812099869 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 4049423796960 in words is "four trillion, forty-nine billion, four hundred twenty-three million, seven hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2812099859 5624199718 8436299577 11248399436 14060499295 16872599154 22496798872 25308898731 28120998590 33745198308 42181497885 44993597744 50617797462 56241997180 67490396616 84362995770 89987195488 101235594924 112483994360 126544493655 134980793232 168725991540 202471189848 224967988720 253088987310 269961586464 337451983080 404942379696 449935977440 506177974620 674903966160 809884759392 1012355949240 1349807932320 2024711898480 4049423796960