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46514536640 = 26511131016489
BaseRepresentation
bin101011010100011110…
…111000000011000000
311110001200022021202022
4223110132320003000
51230230210133030
633211331541012
73234450015665
oct532436700300
9143050267668
1046514536640
11187aa274920
12902175a768
134503922b80
142373877a6c
1513238a9de5
hexad47b80c0

46514536640 has 112 divisors (see below), whose sum is σ = 130126983840. Its totient is φ = 15613255680.

The previous prime is 46514536619. The next prime is 46514536681. The reversal of 46514536640 is 4663541564.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46514536591 and 46514536600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462485 + ... + 554004.

It is an arithmetic number, because the mean of its divisors is an integer number (1161848070).

Almost surely, 246514536640 is an apocalyptic number.

46514536640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46514536640 is an abundant number, since it is smaller than the sum of its proper divisors (83612447200).

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

46514536640 is a wasteful number, since it uses less digits than its factorization.

46514536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016530 (or 1016520 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 46514536640 in words is "forty-six billion, five hundred fourteen million, five hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 45760 1016489 2032978 4065956 5082445 8131912 10164890 11181379 13214357 16263824 20329780 22362758 26428714 32527648 40659560 44725516 52857428 55906895 65055296 66071785 81319120 89451032 105714856 111813790 132143570 145357927 162638240 178902064 211429712 223627580 264287140 290715854 325276480 357804128 422859424 447255160 528574280 581431708 715608256 726789635 845718848 894510320 1057148560 1162863416 1453579270 1789020640 2114297120 2325726832 2907158540 3578041280 4228594240 4651453664 5814317080 9302907328 11628634160 23257268320 46514536640