Search a number
-
+
77728726211532 = 223112325602347237
BaseRepresentation
bin10001101011000110100001…
…000111010101101111001100
3101012012210102120111220000020
4101223012201013111233030
540142001412402232112
6433152030040502140
722241500203344514
oct2153064107255714
9335183376456006
1077728726211532
1122848627620a50
12887442117a950
13344aa30ca5b66
14152a13a190844
158ebd8116248c
hex46b1a11d5bcc

77728726211532 has 48 divisors (see below), whose sum is σ = 206457328127232. Its totient is φ = 22530065567680.

The previous prime is 77728726211503. The next prime is 77728726211537. The reversal of 77728726211532 is 23511262782777.

It is not an unprimeable number, because it can be changed into a prime (77728726211537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12801170583 + ... + 12801176654.

It is an arithmetic number, because the mean of its divisors is an integer number (4301194335984).

Almost surely, 277728726211532 is an apocalyptic number.

It is an amenable number.

77728726211532 is an abundant number, since it is smaller than the sum of its proper divisors (128728601915700).

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

77728726211532 is a wasteful number, since it uses less digits than its factorization.

77728726211532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602347278 (or 25602347276 counting only the distinct ones).

The product of its digits is 27659520, while the sum is 60.

The spelling of 77728726211532 in words is "seventy-seven trillion, seven hundred twenty-eight billion, seven hundred twenty-six million, two hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 25602347237 51204694474 76807041711 102409388948 153614083422 281625819607 307228166844 563251639214 588853986451 844877458821 1126503278428 1177707972902 1689754917642 1766561959353 2355415945804 3379509835284 3533123918706 6477393850961 7066247837412 12954787701922 19432181552883 25909575403844 38864363105766 77728726211532