Search a number
-
+
67164710010 = 23513177322109
BaseRepresentation
bin111110100011010101…
…000010010001111010
320102100211020210012020
4332203111002101322
52100023131210020
650504404455310
74565255421036
oct764325022172
9212324223166
1067164710010
1126536800802
12110253aa536
136444c12678
1433722471c6
151b31754c40
hexfa354247a

67164710010 has 64 divisors (see below), whose sum is σ = 162643282560. Its totient is φ = 17750071040.

The previous prime is 67164709973. The next prime is 67164710017. The reversal of 67164710010 is 1001746176.

67164710010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×671647100102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67164710017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3026836 + ... + 3048944.

It is an arithmetic number, because the mean of its divisors is an integer number (2541301290).

Almost surely, 267164710010 is an apocalyptic number.

67164710010 is an abundant number, since it is smaller than the sum of its proper divisors (95478572550).

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

67164710010 is a wasteful number, since it uses less digits than its factorization.

67164710010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23023.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 67164710010 in words is "sixty-seven billion, one hundred sixty-four million, seven hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 131 262 393 655 773 786 1310 1546 1965 2319 3865 3930 4638 7730 11595 22109 23190 44218 66327 101263 110545 132654 202526 221090 303789 331635 506315 607578 663270 1012630 1518945 2896279 3037890 5792558 8688837 14481395 17090257 17377674 28962790 34180514 43444185 51270771 85451285 86888370 102541542 170902570 256353855 512707710 2238823667 4477647334 6716471001 11194118335 13432942002 22388236670 33582355005 67164710010