Search a number
-
+
7968190071 = 31759101157167
BaseRepresentation
bin1110110101111000…
…01110111001110111
3202120022112222212210
413122330032321313
5112304324040241
63354401544503
7401313332562
oct73274167167
922508488783
107968190071
113419921156
121664645133
1399ca8638a
145583874d9
15319815316
hex1daf0ee77

7968190071 has 64 divisors (see below), whose sum is σ = 11696348160. Its totient is φ = 4806297600.

The previous prime is 7968190067. The next prime is 7968190091. The reversal of 7968190071 is 1700918697.

It is a happy number.

It is not a de Polignac number, because 7968190071 - 22 = 7968190067 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7968190071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968190091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47713630 + ... + 47713796.

It is an arithmetic number, because the mean of its divisors is an integer number (182755440).

Almost surely, 27968190071 is an apocalyptic number.

7968190071 is a deficient number, since it is larger than the sum of its proper divisors (3728158089).

7968190071 is a wasteful number, since it uses less digits than its factorization.

7968190071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 190512, while the sum is 48.

The square root of 7968190071 is about 89264.7190719827. The cubic root of 7968190071 is about 1997.3456513584.

The spelling of 7968190071 in words is "seven billion, nine hundred sixty-eight million, one hundred ninety thousand, seventy-one".

Divisors: 1 3 17 51 59 101 157 167 177 303 471 501 1003 1717 2669 2839 3009 5151 5959 8007 8517 9263 9853 15857 16867 17877 26219 27789 29559 47571 50601 78657 101303 157471 167501 269569 286739 303909 445723 472413 502503 808707 860217 935563 995153 1337169 1546921 2648119 2806689 2985459 4640763 7944357 15904571 16917601 26297657 45018023 47713713 50752803 78892971 135054069 156239021 468717063 2656063357 7968190071