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46241085380 = 2257361110503
BaseRepresentation
bin101011000100001011…
…101111011111000100
311102100121202112010212
4223010023233133010
51224200204213010
633124242534552
73224616512000
oct530413573704
9142317675125
1046241085380
1118679983946
128b66067458
13448c08c1a9
142349415700
151309892505
hexac42ef7c4

46241085380 has 96 divisors (see below), whose sum is σ = 115100966400. Its totient is φ = 15594042240.

The previous prime is 46241085353. The next prime is 46241085419. The reversal of 46241085380 is 8358014264.

It is a super-3 number, since 3×462410853803 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363209 + ... + 473711.

It is an arithmetic number, because the mean of its divisors is an integer number (1198968400).

Almost surely, 246241085380 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 46241085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57550483200).

46241085380 is an abundant number, since it is smaller than the sum of its proper divisors (68859881020).

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

46241085380 is a wasteful number, since it uses less digits than its factorization.

46241085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110594 (or 110578 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 46241085380 in words is "forty-six billion, two hundred forty-one million, eighty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 343 427 490 610 686 854 980 1220 1372 1708 1715 2135 2989 3430 4270 5978 6860 8540 11956 14945 20923 29890 41846 59780 83692 104615 110503 209230 221006 418460 442012 552515 773521 1105030 1547042 2210060 3094084 3867605 5414647 6740683 7735210 10829294 13481366 15470420 21658588 26962732 27073235 33703415 37902529 47184781 54146470 67406830 75805058 94369562 108292940 134813660 151610116 188739124 189512645 235923905 330293467 379025290 471847810 660586934 758050580 943695620 1321173868 1651467335 2312054269 3302934670 4624108538 6605869340 9248217076 11560271345 23120542690 46241085380