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72463960818 = 2326729472
BaseRepresentation
bin100001101111100110…
…0000100101011110010
320221001010201121200200
41003133030010223302
52141401233221233
653142310100030
75143503334614
oct1033714045362
9227033647620
1072463960818
1128806020327
121206404a616
136aaaa69032
143715d64db4
151d41abd313
hex10df304af2

72463960818 has 54 divisors (see below), whose sum is σ = 159552067311. Its totient is φ = 23769010584.

The previous prime is 72463960817. The next prime is 72463960837. The reversal of 72463960818 is 81806936427.

72463960818 is a `hidden beast` number, since 7 + 24 + 6 + 3 + 9 + 608 + 1 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36231980409 + 36231980409 = 190347^2 + 190347^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190347.

It is not an unprimeable number, because it can be changed into a prime (72463960817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76519021 + ... + 76519967.

Almost surely, 272463960818 is an apocalyptic number.

72463960818 is an abundant number, since it is smaller than the sum of its proper divisors (87088106493).

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

72463960818 is an frugal number, since it uses more digits than its factorization.

72463960818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 7246 and 3960818, that added together give a square (3968064 = 19922).

The spelling of 72463960818 in words is "seventy-two billion, four hundred sixty-three million, nine hundred sixty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 947 1206 1894 2841 4489 5682 8523 8978 13467 17046 26934 40401 63449 80802 126898 190347 380694 571041 896809 1142082 1793618 2690427 4251083 5380854 8071281 8502166 12753249 16142562 25506498 38259747 60086203 76519494 120172406 180258609 360517218 540775827 1081551654 4025775601 8051551202 12077326803 24154653606 36231980409 72463960818