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46536440640 = 263597499747
BaseRepresentation
bin101011010101110010…
…011011101101000000
311110010012112010101120
4223111302123231000
51230301312100030
633213433232240
73235134135024
oct532562335500
9143105463346
1046536440640
11188106756a8
129028b62680
134508321b11
14237673a384
151325785010
hexad5c9bb40

46536440640 has 112 divisors (see below), whose sum is σ = 149276726592. Its totient is φ = 12281757696.

The previous prime is 46536440633. The next prime is 46536440677. The reversal of 46536440640 is 4604463564.

46536440640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46536440592 and 46536440601.

It is a congruent number.

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, 156754 + ... + 342993.

It is an arithmetic number, because the mean of its divisors is an integer number (1332827916).

Almost surely, 246536440640 is an apocalyptic number.

46536440640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46536440640 is an abundant number, since it is smaller than the sum of its proper divisors (102740285952).

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

46536440640 is a wasteful number, since it uses less digits than its factorization.

46536440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499864 (or 499854 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 46536440640 in words is "forty-six billion, five hundred thirty-six million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 23280 31040 46560 93120 499747 999494 1499241 1998988 2498735 2998482 3997976 4997470 5996964 7496205 7995952 9994940 11993928 14992410 15991904 19989880 23987856 29984820 31983808 39979760 47975712 48475459 59969640 79959520 95951424 96950918 119939280 145426377 159919040 193901836 239878560 242377295 290852754 387803672 479757120 484754590 581705508 727131885 775607344 969509180 1163411016 1454263770 1551214688 1939018360 2326822032 2908527540 3102429376 3878036720 4653644064 5817055080 7756073440 9307288128 11634110160 15512146880 23268220320 46536440640