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46315477451364 = 223115910755579729
BaseRepresentation
bin10101000011111101010011…
…00101001100001001100100
320001222201100020221120210020
422201332221211030021210
522032313044211420424
6242301011523555140
712520116464461302
oct1241765145141144
9201881306846706
1046315477451364
1113837313641040
1252402bb82bab0
131cac6b9190ab4
14b61976bd7272
15554b8a03a079
hex2a1fa994c264

46315477451364 has 96 divisors (see below), whose sum is σ = 121012634534400. Its totient is φ = 13668166709760.

The previous prime is 46315477451329. The next prime is 46315477451387.

46315477451364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46315477451298 and 46315477451307.

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, 26956549 + ... + 28623180.

It is an arithmetic number, because the mean of its divisors is an integer number (1260548276400).

Almost surely, 246315477451364 is an apocalyptic number.

46315477451364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46315477451364 is an abundant number, since it is smaller than the sum of its proper divisors (74697157083036).

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

46315477451364 is a wasteful number, since it uses less digits than its factorization.

46315477451364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55579913 (or 55579911 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 46315477451364 in words is "forty-six trillion, three hundred fifteen billion, four hundred seventy-seven million, four hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 107 118 132 177 214 236 321 354 428 642 649 708 1177 1284 1298 1947 2354 2596 3531 3894 4708 6313 7062 7788 12626 14124 18939 25252 37878 69443 75756 138886 208329 277772 416658 833316 55579729 111159458 166739187 222318916 333478374 611377019 666956748 1222754038 1834131057 2445508076 3279204011 3668262114 5947031003 6558408022 7336524228 9837612033 11894062006 13116816044 17841093009 19675224066 23788124012 35682186018 36071244121 39350448132 65417341033 71364372036 72142488242 108213732363 130834682066 144284976484 196252023099 216427464726 261669364132 350874829177 392504046198 432854929452 701749658354 785008092396 1052624487531 1403499316708 2105248975062 3859623120947 4210497950124 7719246241894 11578869362841 15438492483788 23157738725682 46315477451364