Search a number
-
+
72770336310 = 2357589758763
BaseRepresentation
bin100001111000101110…
…0110011011000110110
320221211111020002212010
41003301130303120312
52143013201230220
653232532505050
75154213436620
oct1036134633066
9227744202763
1072770336310
1128952a59811
121212a77b186
136b293899c9
143744917c10
151d5d93b1e0
hex10f1733636

72770336310 has 64 divisors (see below), whose sum is σ = 199635881472. Its totient is φ = 16630116096.

The previous prime is 72770336273. The next prime is 72770336311. The reversal of 72770336310 is 1363307727.

It is a super-2 number, since 2×727703363102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72770336311) 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 31 ways as a sum of consecutive naturals, for example, 1208989 + ... + 1267751.

It is an arithmetic number, because the mean of its divisors is an integer number (3119310648).

Almost surely, 272770336310 is an apocalyptic number.

72770336310 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72770336310 is an abundant number, since it is smaller than the sum of its proper divisors (126865545162).

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

72770336310 is a wasteful number, since it uses less digits than its factorization.

72770336310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64677.

The product of its (nonzero) digits is 111132, while the sum is 39.

The spelling of 72770336310 in words is "seventy-two billion, seven hundred seventy million, three hundred thirty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 5897 11794 17691 29485 35382 41279 58763 58970 82558 88455 117526 123837 176289 176910 206395 247674 293815 352578 411341 412790 587630 619185 822682 881445 1234023 1238370 1762890 2056705 2468046 4113410 6170115 12340230 346525411 693050822 1039576233 1732627055 2079152466 2425677877 3465254110 4851355754 5197881165 7277033631 10395762330 12128389385 14554067262 24256778770 36385168155 72770336310