Search a number
-
+
46889499440 = 2457313712473
BaseRepresentation
bin101011101010110101…
…001111101100110000
311111000210212101000102
4223222311033230300
51232012202440230
633312444411532
73246652112000
oct535265175460
9144023771012
1046889499440
1118981999a33
129107246ba8
134563509354
1423ab5a2000
151346775045
hexaead4fb30

46889499440 has 160 divisors (see below), whose sum is σ = 128073052800. Its totient is φ = 15957774336.

The previous prime is 46889499427. The next prime is 46889499443. The reversal of 46889499440 is 4499498864.

It is not an unprimeable number, because it can be changed into a prime (46889499443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3753044 + ... + 3765516.

It is an arithmetic number, because the mean of its divisors is an integer number (800456580).

Almost surely, 246889499440 is an apocalyptic number.

46889499440 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 46889499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64036526400).

46889499440 is an abundant number, since it is smaller than the sum of its proper divisors (81183553360).

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

46889499440 is a wasteful number, since it uses less digits than its factorization.

46889499440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 65.

The spelling of 46889499440 in words is "forty-six billion, eight hundred eighty-nine million, four hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 137 140 196 245 274 280 343 392 490 548 560 685 686 784 959 980 1096 1370 1372 1715 1918 1960 2192 2740 2744 3430 3836 3920 4795 5480 5488 6713 6860 7672 9590 10960 12473 13426 13720 15344 19180 24946 26852 27440 33565 38360 46991 49892 53704 62365 67130 76720 87311 93982 99784 107408 124730 134260 174622 187964 199568 234955 249460 268520 349244 375928 436555 469910 498920 537040 611177 698488 751856 873110 939820 997840 1222354 1396976 1708801 1746220 1879640 2444708 3055885 3417602 3492440 3759280 4278239 4889416 6111770 6835204 6984880 8544005 8556478 9778832 11961607 12223540 13670408 17088010 17112956 21391195 23923214 24447080 27340816 34176020 34225912 42782390 47846428 48894160 59808035 68352040 68451824 83731249 85564780 95692856 119616070 136704080 167462498 171129560 191385712 239232140 334924996 342259120 418656245 478464280 586118743 669849992 837312490 956928560 1172237486 1339699984 1674624980 2344474972 2930593715 3349249960 4688949944 5861187430 6698499920 9377899888 11722374860 23444749720 46889499440