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46234733480 = 23513432279109
BaseRepresentation
bin101011000011110011…
…100000101110101000
311102100011210210222022
4223003303200232220
51224142042432410
633123454444012
73224511515225
oct530363405650
9142304723868
1046234733480
1118676335641
128b63b03608
13448a976c80
14234864094c
15130903a455
hexac3ce0ba8

46234733480 has 128 divisors (see below), whose sum is σ = 115153315200. Its totient is φ = 16599002112.

The previous prime is 46234733471. The next prime is 46234733521. The reversal of 46234733480 is 8433743264.

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 31 ways as a sum of consecutive naturals, for example, 5071166 + ... + 5080274.

It is an arithmetic number, because the mean of its divisors is an integer number (899635275).

Almost surely, 246234733480 is an apocalyptic number.

46234733480 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 46234733480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576657600).

46234733480 is an abundant number, since it is smaller than the sum of its proper divisors (68918581720).

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

46234733480 is a wasteful number, since it uses less digits than its factorization.

46234733480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 46234733480 in words is "forty-six billion, two hundred thirty-four million, seven hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 227 260 344 430 454 520 559 860 908 1118 1135 1720 1816 2236 2270 2795 2951 4472 4540 5590 5902 9080 9109 9761 11180 11804 14755 18218 19522 22360 23608 29510 36436 39044 45545 48805 59020 72872 78088 91090 97610 118040 118417 126893 182180 195220 236834 253786 364360 390440 391687 473668 507572 592085 634465 783374 947336 1015144 1184170 1268930 1566748 1958435 2067743 2368340 2537860 3133496 3916870 4135486 4736680 5075720 5091931 7833740 8270972 10183862 10338715 15667480 16541944 20367724 20677430 25459655 26880659 40735448 41354860 50919310 53761318 82709720 88912949 101838620 107522636 134403295 177825898 203677240 215045272 268806590 355651796 444564745 537613180 711303592 889129490 1075226360 1155868337 1778258980 2311736674 3556517960 4623473348 5779341685 9246946696 11558683370 23117366740 46234733480