Search a number
-
+
71736436730 = 25723359312401
BaseRepresentation
bin100001011001111010…
…0110010011111111010
320212011102202120021002
41002303310302133322
52133404011433410
652542200445002
75116460436260
oct1026364623772
9225142676232
1071736436730
1128472391752
1211aa0479762
1369c31108ca
1436874a4430
151ceccb07a5
hex10b3d327fa

71736436730 has 64 divisors (see below), whose sum is σ = 154043555328. Its totient is φ = 23517542400.

The previous prime is 71736436729. The next prime is 71736436741. The reversal of 71736436730 is 3763463717.

It is a happy number.

It is a super-2 number, since 2×717364367302 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5778530 + ... + 5790930.

It is an arithmetic number, because the mean of its divisors is an integer number (2406930552).

Almost surely, 271736436730 is an apocalyptic number.

71736436730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71736436730 is an abundant number, since it is smaller than the sum of its proper divisors (82307118598).

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

71736436730 is a wasteful number, since it uses less digits than its factorization.

71736436730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16031.

The product of its (nonzero) digits is 1333584, while the sum is 47.

The spelling of 71736436730 in words is "seventy-one billion, seven hundred thirty-six million, four hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 3593 7186 12401 17965 24802 25151 35930 50302 62005 82639 86807 124010 125755 165278 173614 251510 285223 413195 434035 570446 578473 826390 868070 1156946 1426115 1996561 2852230 2892365 3993122 5784730 9982805 19965610 44556793 89113586 222783965 311897551 445567930 623795102 1024806239 1559487755 2049612478 3118975510 5124031195 7173643673 10248062390 14347287346 35868218365 71736436730