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78641601552 = 2432546122233
BaseRepresentation
bin100100100111101100…
…1111001110000010000
321111222200001021122100
41021033121321300100
52242024222222202
6100043310240400
75452545404163
oct1111731716020
9244880037570
1078641601552
1130396152238
12132a8ab6100
137553890b57
143b405b5ada
1520a40e541c
hex124f679c10

78641601552 has 30 divisors (see below), whose sum is σ = 220087260302. Its totient is φ = 26213867136.

The previous prime is 78641601523. The next prime is 78641601557. The reversal of 78641601552 is 25510614687.

78641601552 is a `hidden beast` number, since 7 + 86 + 4 + 16 + 0 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51047076096 + 27594525456 = 225936^2 + 166116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78641601498 and 78641601507.

It is not an unprimeable number, because it can be changed into a prime (78641601557) 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 5 ways as a sum of consecutive naturals, for example, 273060973 + ... + 273061260.

Almost surely, 278641601552 is an apocalyptic number.

78641601552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78641601552 is an abundant number, since it is smaller than the sum of its proper divisors (141445658750).

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

78641601552 is a wasteful number, since it uses less digits than its factorization.

78641601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546122247 (or 546122238 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 78641601552 in words is "seventy-eight billion, six hundred forty-one million, six hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 546122233 1092244466 1638366699 2184488932 3276733398 4368977864 4915100097 6553466796 8737955728 9830200194 13106933592 19660400388 26213867184 39320800776 78641601552