Search a number
-
+
72651682320 = 2435743245049
BaseRepresentation
bin100001110101001100…
…0001011001000010000
320221112012221212011220
41003222120023020100
52142242312313240
653213053405040
75151243052620
oct1035230131020
9227465855156
1072651682320
11288a1a87268
12120b6a99780
136b0a914649
143732c6c880
151d532ee5d0
hex10ea60b210

72651682320 has 80 divisors (see below), whose sum is σ = 257394537600. Its totient is φ = 16606098432.

The previous prime is 72651682283. The next prime is 72651682339. The reversal of 72651682320 is 2328615627.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21620845 + ... + 21624204.

It is an arithmetic number, because the mean of its divisors is an integer number (3217431720).

Almost surely, 272651682320 is an apocalyptic number.

72651682320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72651682320 is an abundant number, since it is smaller than the sum of its proper divisors (184742855280).

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

72651682320 is a wasteful number, since it uses less digits than its factorization.

72651682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43245072 (or 43245066 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 72651682320 in words is "seventy-two billion, six hundred fifty-one million, six hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 43245049 86490098 129735147 172980196 216225245 259470294 302715343 345960392 432450490 518940588 605430686 648675735 691920784 864900980 908146029 1037881176 1210861372 1297351470 1513576715 1729801960 1816292058 2075762352 2421722744 2594702940 3027153430 3459603920 3632584116 4540730145 4843445488 5189405880 6054306860 7265168232 9081460290 10378811760 12108613720 14530336464 18162920580 24217227440 36325841160 72651682320