Search a number
-
+
151271989967 = 7174201302593
BaseRepresentation
bin1000110011100010000…
…0110110001011001111
3112110110101221022002002
42030320200312023033
54434301112134332
6153254323422515
713633442461550
oct2147040661317
9473411838062
10151271989967
115917710502a
1225398824a3b
1311359c5b147
1474706a0327
153e055da562
hex23388362cf

151271989967 has 16 divisors (see below), whose sum is σ = 183095998272. Its totient is φ = 122005094400.

The previous prime is 151271989963. The next prime is 151271990041. The reversal of 151271989967 is 769989172151.

It is not a de Polignac number, because 151271989967 - 22 = 151271989963 is a prime.

It is a super-2 number, since 2×1512719899672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151271989961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348623 + ... + 651215.

It is an arithmetic number, because the mean of its divisors is an integer number (11443499892).

Almost surely, 2151271989967 is an apocalyptic number.

151271989967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

151271989967 is a deficient number, since it is larger than the sum of its proper divisors (31824008305).

151271989967 is a wasteful number, since it uses less digits than its factorization.

151271989967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306818.

The product of its digits is 17146080, while the sum is 65.

The spelling of 151271989967 in words is "one hundred fifty-one billion, two hundred seventy-one million, nine hundred eighty-nine thousand, nine hundred sixty-seven".

Divisors: 1 7 17 119 4201 29407 71417 302593 499919 2118151 5144081 36008567 1271193193 8898352351 21610284281 151271989967