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48441907496376 = 23344117910186133
BaseRepresentation
bin10110000001110110000101…
…01100000100010110111000
320100112000000211020011210000
423000323002230010112320
522322133011304341001
6251005523255353000
713126545424565562
oct1300730254042670
9210460024204700
1048441907496376
11144871089a3a29
125524448982760
13210508ab09194
14bd685a984332
15590142751a86
hex2c0ec2b045b8

48441907496376 has 160 divisors (see below), whose sum is σ = 139768019067600. Its totient is φ = 15665456125440.

The previous prime is 48441907496329. The next prime is 48441907496387. The reversal of 48441907496376 is 67369470914484.

48441907496376 is a `hidden beast` number, since 4 + 8 + 4 + 41 + 90 + 7 + 496 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337395 + ... + 9848738.

Almost surely, 248441907496376 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 48441907496376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69884009533800).

48441907496376 is an abundant number, since it is smaller than the sum of its proper divisors (91326111571224).

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

48441907496376 is a wasteful number, since it uses less digits than its factorization.

48441907496376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186371 (or 10186358 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 48441907496376 in words is "forty-eight trillion, four hundred forty-one billion, nine hundred seven million, four hundred ninety-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 179 216 246 324 328 358 369 492 537 648 716 738 984 1074 1107 1432 1476 1611 2148 2214 2952 3222 3321 4296 4428 4833 6444 6642 7339 8856 9666 12888 13284 14499 14678 19332 22017 26568 28998 29356 38664 44034 57996 58712 66051 88068 115992 132102 176136 198153 264204 396306 528408 594459 792612 1188918 1585224 2377836 4755672 10186133 20372266 30558399 40744532 61116798 81489064 91675197 122233596 183350394 244467192 275025591 366700788 417631453 550051182 733401576 825076773 835262906 1100102364 1252894359 1650153546 1670525812 1823317807 2200204728 2505788718 3300307092 3341051624 3646635614 3758683077 5011577436 5469953421 6600614184 7293271228 7517366154 10023154872 10939906842 11276049231 14586542456 15034732308 16409860263 21879813684 22552098462 30069464616 32819720526 33828147693 43759627368 45104196924 49229580789 65639441052 67656295386 74756030087 90208393848 98459161578 131278882104 135312590772 147688742367 149512060174 196918323156 224268090261 270625181544 295377484734 299024120348 393836646312 448536180522 590754969468 598048240696 672804270783 897072361044 1181509938936 1345608541566 1794144722088 2018412812349 2691217083132 4036825624698 5382434166264 6055238437047 8073651249396 12110476874094 16147302498792 24220953748188 48441907496376