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77090248014 = 231331178317881
BaseRepresentation
bin100011111001011101…
…1111101010101001110
321100222112220100122220
41013302323331111032
52230340100414024
655225331320210
75366240203443
oct1076273752516
9240875810586
1077090248014
112a76a48737a
1212b35450066
13736735b390
143a345459ca
152012d04e79
hex11f2efd54e

77090248014 has 64 divisors (see below), whose sum is σ = 171502399488. Its totient is φ = 22940755200.

The previous prime is 77090248013. The next prime is 77090248033. The reversal of 77090248014 is 41084209077.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77090248013) 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 31 ways as a sum of consecutive naturals, for example, 4302354 + ... + 4320234.

It is an arithmetic number, because the mean of its divisors is an integer number (2679724992).

Almost surely, 277090248014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77090248014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85751199744).

77090248014 is an abundant number, since it is smaller than the sum of its proper divisors (94412151474).

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

77090248014 is a wasteful number, since it uses less digits than its factorization.

77090248014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19713.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 77090248014 in words is "seventy-seven billion, ninety million, two hundred forty-eight thousand, fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 1783 2418 3566 5349 10698 17881 23179 35762 46358 53643 55273 69537 107286 110546 139074 165819 232453 331638 464906 554311 697359 718549 1108622 1394718 1437098 1662933 2155647 3325866 4311294 7206043 14412086 21618129 31881823 43236258 63763646 95645469 191290938 414463699 828927398 988336513 1243391097 1976673026 2486782194 2965009539 5930019078 12848374669 25696749338 38545124007 77090248014