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46319138712 = 23337112784941
BaseRepresentation
bin101011001000110101…
…011111011110011000
311102120001122001012000
4223020311133132120
51224330144414322
633140111521000
73226555116510
oct531065373630
9142501561160
1046319138712
1118709a45530
128b88229160
1344a22ba4b2
142355932840
15131165e3ac
hexac8d5f798

46319138712 has 128 divisors (see below), whose sum is σ = 160412659200. Its totient is φ = 12030940800.

The previous prime is 46319138699. The next prime is 46319138753. The reversal of 46319138712 is 21783191364.

46319138712 is a `hidden beast` number, since 4 + 631 + 9 + 1 + 3 + 8 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×463191387122 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375839 + ... + 1409102.

It is an arithmetic number, because the mean of its divisors is an integer number (1253223900).

Almost surely, 246319138712 is an apocalyptic number.

46319138712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46319138712 is an abundant number, since it is smaller than the sum of its proper divisors (114093520488).

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

46319138712 is a wasteful number, since it uses less digits than its factorization.

46319138712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784974 (or 2784964 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 46319138712 in words is "forty-six billion, three hundred nineteen million, one hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 2784941 5569882 8354823 11139764 16709646 19494587 22279528 25064469 30634351 33419292 38989174 50128938 58483761 61268702 66838584 75193407 77978348 91903053 100257876 116967522 122537404 150386814 155956696 175451283 183806106 200515752 214440457 233935044 245074808 275709159 300773628 350902566 367612212 428880914 467870088 526353849 551418318 601547256 643321371 701805132 735224424 827127477 857761828 1052707698 1102836636 1286642742 1403610264 1654254954 1715523656 1929964113 2105415396 2205673272 2573285484 3308509908 3859928226 4210830792 5146570968 5789892339 6617019816 7719856452 11579784678 15439712904 23159569356 46319138712