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77097702150 = 2335271731113137
BaseRepresentation
bin100011111001101100…
…0011001001100000110
321101000001221001211000
41013303120121030012
52230344002432100
655230155154130
75366360440560
oct1076330311406
9241001831730
1077097702150
112a773708817
1212b37a45946
137368a6b201
143a35526330
1520137c8900
hex11f3619306

77097702150 has 768 divisors, whose sum is σ = 269674168320. Its totient is φ = 15792537600.

The previous prime is 77097702113. The next prime is 77097702151. The reversal of 77097702150 is 5120779077.

It is a super-2 number, since 2×770977021502 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 77097702096 and 77097702105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77097702151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 562756882 + ... + 562757018.

It is an arithmetic number, because the mean of its divisors is an integer number (351138240).

Almost surely, 277097702150 is an apocalyptic number.

77097702150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77097702150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134837084160).

77097702150 is an abundant number, since it is smaller than the sum of its proper divisors (192576466170).

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

77097702150 is a wasteful number, since it uses less digits than its factorization.

77097702150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The spelling of 77097702150 in words is "seventy-seven billion, ninety-seven million, seven hundred two thousand, one hundred fifty".