Search a number
-
+
68775587001 = 361128832
BaseRepresentation
bin100000000001101011…
…0000010110010111001
320120112002101211000000
41000003112002302321
52111323022241001
651332311303213
74653215562312
oct1000326026271
9216462354000
1068775587001
1127193031500
12113b497ab09
136640886214
14348616d609
151bc7da1a86
hex1003582cb9

68775587001 has 63 divisors (see below), whose sum is σ = 113471116437. Its totient is φ = 41634968760.

The previous prime is 68775586991. The next prime is 68775587009. The reversal of 68775587001 is 10078557786.

It is a happy number.

The square root of 68775587001 is 262251.

It is a perfect power (a square), and thus also a powerful number.

68775587001 is a `hidden beast` number, since 6 + 87 + 7 + 558 + 7 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 68775587001 - 227 = 68641369273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68775587009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 77888106 + ... + 77888988.

Almost surely, 268775587001 is an apocalyptic number.

68775587001 is the 262251-st square number.

68775587001 is the 131126-th centered octagonal number.

It is an amenable number.

68775587001 is a deficient number, since it is larger than the sum of its proper divisors (44695529436).

68775587001 is an frugal number, since it uses more digits than its factorization.

68775587001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 68775587001 in words is "sixty-eight billion, seven hundred seventy-five million, five hundred eighty-seven thousand, one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 883 891 1089 2649 2673 3267 7947 8019 9713 9801 23841 29139 29403 71523 87417 88209 106843 214569 262251 320529 643707 779689 786753 961587 2339067 2360259 2884761 7017201 7080777 8576579 8654283 21051603 25729737 25962849 63154809 77189211 77888547 94342369 189464427 231567633 283027107 568393281 694702899 849081321 2084108697 2547243963 6252326091 7641731889 22925195667 68775587001