Search a number
-
+
79122222144 = 263376541189
BaseRepresentation
bin100100110110000001…
…1010100110001000000
321120020011102100011000
41021230003110301000
52244020242102034
6100203115452000
75500502535330
oct1115403246100
9246204370130
1079122222144
1130612482639
1213401a57000
1375cc31c134
143b883650c0
1520d13d1599
hex126c0d4c40

79122222144 has 112 divisors (see below), whose sum is σ = 265833961600. Its totient is φ = 22606345728.

The previous prime is 79122222143. The next prime is 79122222203. The reversal of 79122222144 is 44122222197.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 79122222099 and 79122222108.

It is not an unprimeable number, because it can be changed into a prime (79122222143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3258499 + ... + 3282690.

Almost surely, 279122222144 is an apocalyptic number.

It is an amenable number.

79122222144 is an abundant number, since it is smaller than the sum of its proper divisors (186711739456).

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

79122222144 is a wasteful number, since it uses less digits than its factorization.

79122222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541217 (or 6541201 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 79122222144 in words is "seventy-nine billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 6541189 13082378 19623567 26164756 39247134 45788323 52329512 58870701 78494268 91576646 104659024 117741402 137364969 156988536 176612103 183153292 209318048 235482804 274729938 313977072 353224206 366306584 412094907 418636096 470965608 549459876 627954144 706448412 732613168 824189814 941931216 1098919752 1236284721 1255908288 1412896824 1465226336 1648379628 1883862432 2197839504 2472569442 2825793648 2930452672 3296759256 3767724864 4395679008 4945138884 5651587296 6593518512 8791358016 9890277768 11303174592 13187037024 19780555536 26374074048 39561111072 79122222144