Search a number
-
+
151875705261 = 3722261945677
BaseRepresentation
bin1000110101110001111…
…1110101100110101101
3112112000110221012202210
42031130133311212231
54442020140032021
6153434251241033
713654423123500
oct2153437654655
9475013835683
10151875705261
1159456970295
1225526a49179
1311425057b27
1474ca933137
153e3d5dde76
hex235c7f59ad

151875705261 has 24 divisors (see below), whose sum is σ = 235577890080. Its totient is φ = 86780380512.

The previous prime is 151875705217. The next prime is 151875705271. The reversal of 151875705261 is 162507578151.

It is a happy number.

It is not a de Polignac number, because 151875705261 - 225 = 151842150829 is a prime.

It is a super-2 number, since 2×1518757052612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 151875705261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151875705271) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3302155 + ... + 3347831.

It is an arithmetic number, because the mean of its divisors is an integer number (9815745420).

Almost surely, 2151875705261 is an apocalyptic number.

It is an amenable number.

151875705261 is a deficient number, since it is larger than the sum of its proper divisors (83702184819).

151875705261 is a wasteful number, since it uses less digits than its factorization.

151875705261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68313 (or 68306 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 48.

The spelling of 151875705261 in words is "one hundred fifty-one billion, eight hundred seventy-five million, seven hundred five thousand, two hundred sixty-one".

Divisors: 1 3 7 21 49 147 22619 45677 67857 137031 158333 319739 474999 959217 1108331 2238173 3324993 6714519 1033168063 3099504189 7232176441 21696529323 50625235087 151875705261