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47244855246260 = 22572811987604397
BaseRepresentation
bin10101011111000000011001…
…10100000111110110110100
320012021120020012020021110012
422233200030310013312310
522143024430420340020
6244251553055315352
712644220361416530
oct1257401464076664
9205246205207405
1047244855246260
111406548112aa71
12537045251bb58
13204922b140399
14b9493db40bc0
1556de317387c5
hex2af80cd07db4

47244855246260 has 96 divisors (see below), whose sum is σ = 113848623560448. Its totient is φ = 16132441328640.

The previous prime is 47244855246247. The next prime is 47244855246293. The reversal of 47244855246260 is 6264255844274.

47244855246260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×472448552462602 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47244855246260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77866382 + ... + 78470778.

It is an arithmetic number, because the mean of its divisors is an integer number (1185923162088).

Almost surely, 247244855246260 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 47244855246260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924311780224).

47244855246260 is an abundant number, since it is smaller than the sum of its proper divisors (66603768314188).

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

47244855246260 is a wasteful number, since it uses less digits than its factorization.

47244855246260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606681 (or 606679 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 59.

The spelling of 47244855246260 in words is "forty-seven trillion, two hundred forty-four billion, eight hundred fifty-five million, two hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 1987 2810 3934 3974 5620 7868 7948 9835 9935 13909 19670 19870 27818 39340 39740 55636 69545 139090 278180 558347 604397 1116694 1208794 2233388 2417588 2791735 3021985 3908429 4230779 5583470 6043970 7816858 8461558 11166940 12087940 15633716 16923116 19542145 21153895 39084290 42307790 78168580 84615580 169835557 339671114 679342228 849177785 1188848899 1200936839 1698355570 2377697798 2401873678 3396711140 4755395596 4803747356 5944244495 6004684195 8406557873 11888488990 12009368390 16813115746 23776977980 24018736780 33626231492 42032789365 84065578730 168131157460 337463251759 674926503518 1349853007036 1687316258795 2362242762313 3374632517590 4724485524626 6749265035180 9448971049252 11811213811565 23622427623130 47244855246260