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46137375480 = 23357192890813
BaseRepresentation
bin101010111110000000…
…000111101011111000
311102002101121111220110
4222332000013223320
51223442132003410
633110100024320
73222220135530
oct527600075370
9142071544813
1046137375480
1118626389089
128b373920a0
134473749ba1
14233973a4c0
151300708720
hexabe007af8

46137375480 has 128 divisors (see below), whose sum is σ = 166510886400. Its totient is φ = 9990646272.

The previous prime is 46137375457. The next prime is 46137375491. The reversal of 46137375480 is 8457373164.

46137375480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1429447 + ... + 1461366.

It is an arithmetic number, because the mean of its divisors is an integer number (1300866300).

Almost surely, 246137375480 is an apocalyptic number.

46137375480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46137375480 is an abundant number, since it is smaller than the sum of its proper divisors (120373510920).

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

46137375480 is a wasteful number, since it uses less digits than its factorization.

46137375480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890853 (or 2890849 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 46137375480 in words is "forty-six billion, one hundred thirty-seven million, three hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 2890813 5781626 8672439 11563252 14454065 17344878 20235691 23126504 28908130 34689756 40471382 43362195 54925447 57816260 60707073 69379512 80942764 86724390 101178455 109850894 115632520 121414146 161885528 164776341 173448780 202356910 219701788 242828292 274627235 303535365 329552682 346897560 384478129 404713820 439403576 485656584 549254470 607070730 659105364 768956258 809427640 823881705 1098508940 1153434387 1214141460 1318210728 1537912516 1647763410 1922390645 2197017880 2306868774 2428282920 3075825032 3295526820 3844781290 4613737548 5767171935 6591053640 7689562580 9227475096 11534343870 15379125160 23068687740 46137375480