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46469206656 = 273315785643
BaseRepresentation
bin101011010001110001…
…111101001010000000
311102221112000021201000
4223101301331022000
51230132104103111
633203032212000
73233356511415
oct532161751200
9142845007630
1046469206656
1118786723824
12900a53a000
1344c74112b2
14236b83810c
15131e903c56
hexad1c7d280

46469206656 has 128 divisors (see below), whose sum is σ = 138023870400. Its totient is φ = 15390895104.

The previous prime is 46469206627. The next prime is 46469206669. The reversal of 46469206656 is 65660296464.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 499771 + ... + 585413.

Almost surely, 246469206656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46469206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69011935200).

46469206656 is an abundant number, since it is smaller than the sum of its proper divisors (91554663744).

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

46469206656 is a wasteful number, since it uses less digits than its factorization.

46469206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85823 (or 85805 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 46469206656 in words is "forty-six billion, four hundred sixty-nine million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 157 192 216 288 314 384 432 471 576 628 864 942 1152 1256 1413 1728 1884 2512 2826 3456 3768 4239 5024 5652 7536 8478 10048 11304 15072 16956 20096 22608 30144 33912 45216 60288 67824 85643 90432 135648 171286 180864 256929 271296 342572 513858 542592 685144 770787 1027716 1370288 1541574 2055432 2312361 2740576 3083148 4110864 4624722 5481152 6166296 8221728 9249444 10962304 12332592 13445951 16443456 18498888 24665184 26891902 32886912 36997776 40337853 49330368 53783804 73995552 80675706 98660736 107567608 121013559 147991104 161351412 215135216 242027118 295982208 322702824 363040677 430270432 484054236 645405648 726081354 860540864 968108472 1290811296 1452162708 1721081728 1936216944 2581622592 2904325416 3872433888 5163245184 5808650832 7744867776 11617301664 15489735552 23234603328 46469206656