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46800436680 = 23325711831003
BaseRepresentation
bin101011100101100001…
…011111110111001000
311110210121021111212200
4223211201133313020
51231321402433210
633255543440200
73244521101544
oct534541376710
9143717244780
1046800436680
1118936698848
1290a1456060
13454ac24baa
14239d81aa24
15133da310c0
hexae585fdc8

46800436680 has 96 divisors (see below), whose sum is σ = 154243776960. Its totient is φ = 12304333440.

The previous prime is 46800436607. The next prime is 46800436693. The reversal of 46800436680 is 8663400864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889942 + ... + 941061.

It is an arithmetic number, because the mean of its divisors is an integer number (1606706010).

Almost surely, 246800436680 is an apocalyptic number.

46800436680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46800436680 is an abundant number, since it is smaller than the sum of its proper divisors (107443340280).

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

46800436680 is a wasteful number, since it uses less digits than its factorization.

46800436680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831091 (or 1831084 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46800436680 in words is "forty-six billion, eight hundred million, four hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 1831003 3662006 5493009 7324012 9155015 10986018 14648024 16479027 18310030 21972036 27465045 32958054 36620060 43944072 54930090 65916108 73240120 82395135 109860180 130001213 131832216 164790270 219720360 260002426 329580540 390003639 520004852 650006065 659161080 780007278 1040009704 1170010917 1300012130 1560014556 1950018195 2340021834 2600024260 3120029112 3900036390 4680043668 5200048520 5850054585 7800072780 9360087336 11700109170 15600145560 23400218340 46800436680