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49944674019825 = 3452131999854399
BaseRepresentation
bin10110101101100101001101…
…00011011010100111110001
320112211122221012120021020000
423112302212203122213301
523021243143022113300
6254120133321340213
713343245403354304
oct1326624643324761
9215748835507200
1049944674019825
1114a0646547a332
125727742337669
1321b39bb42b4c0
14c494997dcb3b
155b9297921c00
hex2d6ca68da9f1

49944674019825 has 120 divisors (see below), whose sum is σ = 104875079232000. Its totient is φ = 23294033965440.

The previous prime is 49944674019809. The next prime is 49944674019899. The reversal of 49944674019825 is 52891047644994.

49944674019825 is a `hidden beast` number, since 4 + 9 + 9 + 446 + 74 + 0 + 1 + 98 + 25 = 666.

It is not a de Polignac number, because 49944674019825 - 24 = 49944674019809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49427025 + ... + 50427374.

It is an arithmetic number, because the mean of its divisors is an integer number (873958993600).

Almost surely, 249944674019825 is an apocalyptic number.

49944674019825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49944674019825 is an abundant number, since it is smaller than the sum of its proper divisors (54930405212175).

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

49944674019825 is a wasteful number, since it uses less digits than its factorization.

49944674019825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99854453 (or 99854439 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 49944674019825 in words is "forty-nine trillion, nine hundred forty-four billion, six hundred seventy-four million, nineteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 27 39 45 57 65 75 81 95 117 135 171 195 225 247 285 325 351 405 475 513 585 675 741 855 975 1053 1235 1425 1539 1755 2025 2223 2565 2925 3705 4275 5265 6175 6669 7695 8775 11115 12825 18525 20007 26325 33345 38475 55575 100035 166725 500175 99854399 299563197 499271995 898689591 1298107187 1497815985 1897233581 2496359975 2696068773 3894321561 4493447955 5691700743 6490535935 7489079925 8088206319 9486167905 11682964683 13480343865 17075102229 19471607805 22467239775 24664036553 28458503715 32452679675 35048894049 40441031595 47430839525 51225306687 58414823415 67401719325 73992109659 85375511145 97358039025 105146682147 123320182765 142292518575 153675920061 175244470245 202205157975 221976328977 256126533435 292074117075 369960548295 426877555725 525733410735 616600913825 665928986931 768379600305 876222351225 1109881644885 1280632667175 1849802741475 1997786960793 2628667053675 3329644934655 3841898001525 5549408224425 9988934803965 16648224673275 49944674019825