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46901506680 = 2333576203903
BaseRepresentation
bin101011101011100011…
…000011001001111000
311111001122110101212000
4223223203003021320
51232023241203210
633313554021000
73250156141350
oct535343031170
9144048411760
1046901506680
1118988750176
12910b277760
134565b51722
1423ad009b60
151347847ac0
hexaeb8c3278

46901506680 has 128 divisors (see below), whose sum is σ = 178672435200. Its totient is φ = 10720342656.

The previous prime is 46901506679. The next prime is 46901506697. The reversal of 46901506680 is 8660510964.

46901506680 is a `hidden beast` number, since 4 + 69 + 0 + 1 + 506 + 6 + 80 = 666.

46901506680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3094392 + ... + 3109511.

It is an arithmetic number, because the mean of its divisors is an integer number (1395878400).

Almost surely, 246901506680 is an apocalyptic number.

46901506680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46901506680 is an abundant number, since it is smaller than the sum of its proper divisors (131770928520).

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

46901506680 is a wasteful number, since it uses less digits than its factorization.

46901506680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203930 (or 6203920 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 46901506680 in words is "forty-six billion, nine hundred one million, five hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 6203903 12407806 18611709 24815612 31019515 37223418 43427321 49631224 55835127 62039030 74446836 86854642 93058545 111670254 124078060 130281963 148893672 167505381 173709284 186117090 217136605 223340508 248156120 260563926 279175635 335010762 347418568 372234180 390845889 434273210 446681016 521127852 558351270 651409815 670021524 744468360 781691778 837526905 868546420 1042255704 1116702540 1172537667 1302819630 1340043048 1563383556 1675053810 1737092840 1954229445 2233405080 2345075334 2605639260 3126767112 3350107620 3908458890 4690150668 5211278520 5862688335 6700215240 7816917780 9380301336 11725376670 15633835560 23450753340 46901506680