Search a number
-
+
71100467747448 = 2333947973977069
BaseRepresentation
bin10000001010101001011110…
…000111111001101001111000
3100022202010201211211120101220
4100022221132013321221320
533304402224220404243
6411115034242312040
720655560605114536
oct2012513607715170
9308663654746356
1071100467747448
11207225a2504757
127b838b6958620
13308998c6839c9
14137b3d10cb156
1583474658d783
hex40aa5e1f9a78

71100467747448 has 64 divisors (see below), whose sum is σ = 177816767184000. Its totient is φ = 23691410992512.

The previous prime is 71100467747431. The next prime is 71100467747471. The reversal of 71100467747448 is 84474776400117.

It is a happy number.

71100467747448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×711004677474482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71100467747391 and 71100467747400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922517458 + ... + 922594526.

It is an arithmetic number, because the mean of its divisors is an integer number (2778386987250).

Almost surely, 271100467747448 is an apocalyptic number.

It is an amenable number.

71100467747448 is an abundant number, since it is smaller than the sum of its proper divisors (106716299436552).

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

71100467747448 is a wasteful number, since it uses less digits than its factorization.

71100467747448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90764 (or 90760 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 60.

The spelling of 71100467747448 in words is "seventy-one trillion, one hundred billion, four hundred sixty-seven million, seven hundred forty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 3947 7894 9739 11841 15788 19478 23682 29217 31576 38956 47364 58434 77069 77912 94728 116868 154138 231207 233736 308276 462414 616552 924828 1849656 38439833 76879666 115319499 153759332 230638998 304191343 307518664 461277996 608382686 750574991 912574029 922555992 1216765372 1501149982 1825148058 2251724973 2433530744 3002299964 3650296116 4503449946 6004599928 7300592232 9006899892 18013799784 2962519489477 5925038978954 8887558468431 11850077957908 17775116936862 23700155915816 35550233873724 71100467747448