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78006763368 = 23332943714079
BaseRepresentation
bin100100010100110010…
…0001011111101101000
321110100102111011101000
41020221210023331220
52234224212411433
655500311355000
75431036356042
oct1105144137550
9243312434330
1078006763368
113009a869986
1213150382a60
1374821b8061
143ac0160a92
1520684e5113
hex122990bf68

78006763368 has 256 divisors, whose sum is σ = 232657920000. Its totient is φ = 24170469120.

The previous prime is 78006763357. The next prime is 78006763391. The reversal of 78006763368 is 86336760087.

It is a super-2 number, since 2×780067633682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19121953 + ... + 19126031.

It is an arithmetic number, because the mean of its divisors is an integer number (908820000).

Almost surely, 278006763368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78006763368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960000).

78006763368 is an abundant number, since it is smaller than the sum of its proper divisors (154651156632).

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

78006763368 is a wasteful number, since it uses less digits than its factorization.

78006763368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 78006763368 in words is "seventy-eight billion, six million, seven hundred sixty-three thousand, three hundred sixty-eight".