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46501066040 = 235111323353459
BaseRepresentation
bin101011010011101011…
…011111010100111000
311110000201221220120012
4223103223133110320
51230213233103130
633210131121052
73234224353052
oct532353372470
9143021856505
1046501066040
11187a27041a0
129019143188
134500bb76c0
142371b6c8d2
1513225e8995
hexad3adf538

46501066040 has 128 divisors (see below), whose sum is σ = 128263564800. Its totient is φ = 14930065920.

The previous prime is 46501066039. The next prime is 46501066057. The reversal of 46501066040 is 4066010564.

It is a junction number, because it is equal to n+sod(n) for n = 46501065988 and 46501066006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45170 + ... + 308289.

It is an arithmetic number, because the mean of its divisors is an integer number (1002059100).

Almost surely, 246501066040 is an apocalyptic number.

46501066040 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 46501066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64131782400).

46501066040 is an abundant number, since it is smaller than the sum of its proper divisors (81762498760).

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

46501066040 is a wasteful number, since it uses less digits than its factorization.

46501066040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353517 (or 353513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 46501066040 in words is "forty-six billion, five hundred one million, sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 10120 11960 13156 16445 26312 32890 65780 131560 353459 706918 1413836 1767295 2827672 3534590 3888049 4594967 7069180 7776098 8129557 9189934 14138360 15552196 16259114 18379868 19440245 22974835 31104392 32518228 36759736 38880490 40647785 45949670 50544637 65036456 77760980 81295570 89425127 91899340 101089274 105684241 155521960 162591140 178850254 183798680 202178548 211368482 252723185 325182280 357700508 404357096 422736964 447125635 505446370 528421205 715401016 845473928 894251270 1010892740 1056842410 1162526651 1788502540 2021785480 2113684820 2325053302 3577005080 4227369640 4650106604 5812633255 9300213208 11625266510 23250533020 46501066040