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46030133360 = 2458343915791
BaseRepresentation
bin101010110111100111…
…000001100001110000
311101210220211001101002
4222313213001201300
51223232203231420
633051305301132
73216445451351
oct526747014160
9141726731332
1046030133360
11185808a0532
128b074947a8
13445746bc03
1423293c1d28
1512e60c3075
hexab79c1870

46030133360 has 80 divisors (see below), whose sum is σ = 108563051520. Its totient is φ = 18147636480.

The previous prime is 46030133353. The next prime is 46030133407. The reversal of 46030133360 is 6333103064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2907065 + ... + 2922855.

It is an arithmetic number, because the mean of its divisors is an integer number (1357038144).

Almost surely, 246030133360 is an apocalyptic number.

46030133360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46030133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54281525760).

46030133360 is an abundant number, since it is smaller than the sum of its proper divisors (62532918160).

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

46030133360 is a wasteful number, since it uses less digits than its factorization.

46030133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The spelling of 46030133360 in words is "forty-six billion, thirty million, one hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 439 664 830 878 1328 1660 1756 2195 3320 3512 4390 6640 7024 8780 15791 17560 31582 35120 36437 63164 72874 78955 126328 145748 157910 182185 252656 291496 315820 364370 582992 631640 728740 1263280 1310653 1457480 2621306 2914960 5242612 6553265 6932249 10485224 13106530 13864498 20970448 26213060 27728996 34661245 52426120 55457992 69322490 104852240 110915984 138644980 277289960 554579920 575376667 1150753334 2301506668 2876883335 4603013336 5753766670 9206026672 11507533340 23015066680 46030133360