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78402226432 = 2818110491613
BaseRepresentation
bin100100100000100100…
…0110000100100000000
321111100222121202201011
41021001020300210000
52241031432221212
6100003435450304
75443610633425
oct1110110604400
9244328552634
1078402226432
1130283016162
12132408b6994
1375160cb57a
143b1a8a3d4c
15208d0ae4a7
hex1241230900

78402226432 has 72 divisors (see below), whose sum is σ = 157610489400. Its totient is φ = 38923223040.

The previous prime is 78402226417. The next prime is 78402226433. The reversal of 78402226432 is 23462220487.

It can be written as a sum of positive squares in 4 ways, for example, as 9388834816 + 69013391616 = 96896^2 + 262704^2 .

It is a super-2 number, since 2×784022264322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78402226433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48605658 + ... + 48607270.

It is an arithmetic number, because the mean of its divisors is an integer number (2189034575).

Almost surely, 278402226432 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 78402226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78805244700).

78402226432 is an abundant number, since it is smaller than the sum of its proper divisors (79208262968).

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

78402226432 is a wasteful number, since it uses less digits than its factorization.

78402226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 78402226432 in words is "seventy-eight billion, four hundred two million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1049 1448 1613 2098 2896 3226 4196 5792 6452 8392 11584 12904 16784 23168 25808 33568 46336 51616 67136 103232 134272 189869 206464 268544 291953 379738 412928 583906 759476 1167812 1518952 1692037 2335624 3037904 3384074 4671248 6075808 6768148 9342496 12151616 13536296 18684992 24303232 27072592 37369984 48606464 54145184 74739968 108290368 216580736 306258697 433161472 612517394 1225034788 2450069576 4900139152 9800278304 19600556608 39201113216 78402226432