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46260266240 = 285336110753
BaseRepresentation
bin101011000101010100…
…111010010100000000
311102101221212000100002
4223011110322110000
51224220112004430
633130210015132
73225241526606
oct530524722400
9142357760302
1046260266240
11186897947a1
128b705774a8
134493046806
14234bba9876
15130b3d0845
hexac553a500

46260266240 has 72 divisors (see below), whose sum is σ = 110851070568. Its totient is φ = 18496880640.

The previous prime is 46260266233. The next prime is 46260266251. The reversal of 46260266240 is 4266206264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20547502336 + 25712763904 = 143344^2 + 160352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46260266194 and 46260266203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4296704 + ... + 4307456.

Almost surely, 246260266240 is an apocalyptic number.

46260266240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46260266240 is an abundant number, since it is smaller than the sum of its proper divisors (64590804328).

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

46260266240 is a wasteful number, since it uses less digits than its factorization.

46260266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14135 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 46260266240 in words is "forty-six billion, two hundred sixty million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 3361 6722 10753 13444 16805 21506 26888 33610 43012 53765 53776 67220 86024 107530 107552 134440 172048 215060 215104 268880 344096 430120 430208 537760 688192 860240 860416 1075520 1376384 1720480 2151040 2752768 3440960 4302080 6881920 13763840 36140833 72281666 144563332 180704165 289126664 361408330 578253328 722816660 1156506656 1445633320 2313013312 2891266640 4626026624 5782533280 9252053248 11565066560 23130133120 46260266240