Search a number
-
+
72936442950 = 2352769463279
BaseRepresentation
bin100001111101101011…
…0011100110001000110
320222021001210012022220
41003323112130301012
52143333212133300
653301225033210
75161301351550
oct1037326346106
9228231705286
1072936442950
1128a287a2128
1212176325806
136b54907b67
14375c9d64d0
151d6d2ecda0
hex10fb59cc46

72936442950 has 48 divisors (see below), whose sum is σ = 206722721280. Its totient is φ = 16671186720.

The previous prime is 72936442919. The next prime is 72936442963. The reversal of 72936442950 is 5924463927.

It is a junction number, because it is equal to n+sod(n) for n = 72936442893 and 72936442902.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34730590 + ... + 34732689.

It is an arithmetic number, because the mean of its divisors is an integer number (4306723360).

Almost surely, 272936442950 is an apocalyptic number.

72936442950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72936442950 is an abundant number, since it is smaller than the sum of its proper divisors (133786278330).

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

72936442950 is a wasteful number, since it uses less digits than its factorization.

72936442950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69463301 (or 69463296 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 72936442950 in words is "seventy-two billion, nine hundred thirty-six million, four hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 69463279 138926558 208389837 347316395 416779674 486242953 694632790 972485906 1041949185 1458728859 1736581975 2083898370 2431214765 2917457718 3473163950 4862429530 5209745925 7293644295 10419491850 12156073825 14587288590 24312147650 36468221475 72936442950