Search a number
-
+
46662206064200 = 2352694273360523
BaseRepresentation
bin10101001110000011001000…
…01101111000011001001000
320010012212022101000002121122
422213001210031320121020
522104003144223023300
6243124153241254412
712554142652164536
oct1247014415703110
9203185271002548
1046662206064200
111396036a929831
125297546494408
1320062c508786c
14b74669dbb156
1555dbcec8dc85
hex2a7064378648

46662206064200 has 48 divisors (see below), whose sum is σ = 108491224026480. Its totient is φ = 18664608029760.

The previous prime is 46662206064167. The next prime is 46662206064203. The reversal of 46662206064200 is 246060226664.

It is a super-2 number, since 2×466622060642002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46662206064203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12205139 + ... + 15565661.

It is an arithmetic number, because the mean of its divisors is an integer number (2260233833885).

Almost surely, 246662206064200 is an apocalyptic number.

46662206064200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46662206064200 is an abundant number, since it is smaller than the sum of its proper divisors (61829017962280).

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

46662206064200 is a wasteful number, since it uses less digits than its factorization.

46662206064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429966 (or 3429957 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 46662206064200 in words is "forty-six trillion, six hundred sixty-two billion, two hundred six million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 69427 138854 277708 347135 555416 694270 1388540 1735675 2777080 3360523 3471350 6721046 6942700 13442092 13885400 16802615 26884184 33605230 67210460 84013075 134420920 168026150 336052300 672104600 233311030321 466622060642 933244121284 1166555151605 1866488242568 2333110303210 4666220606420 5832775758025 9332441212840 11665551516050 23331103032100 46662206064200