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152379368164 = 2271227492
BaseRepresentation
bin1000110111101010000…
…1001010001011100100
3112120022120122221101101
42031322201022023210
54444033104240124
6154000242405444
714003050154452
oct2157241121344
9476276587341
10152379368164
11596951a9721
1225647660884
13114a54c320a
14753779d9d2
153e6c92c644
hex237a84a2e4

152379368164 has 27 divisors (see below), whose sum is σ = 270571048041. Its totient is φ = 75089264880.

The previous prime is 152379368161. The next prime is 152379368171. The reversal of 152379368164 is 461863973251.

It is a happy number.

The square root of 152379368164 is 390358.

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

It can be written as a sum of positive squares in only one way, i.e., 18159718564 + 134219649600 = 134758^2 + 366360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152379368161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55429462 + ... + 55432210.

Almost surely, 2152379368164 is an apocalyptic number.

152379368164 is the 390358-th square number.

It is an amenable number.

152379368164 is a deficient number, since it is larger than the sum of its proper divisors (118191679877).

152379368164 is an frugal number, since it uses more digits than its factorization.

152379368164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 2822 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 152379368164 in words is "one hundred fifty-two billion, three hundred seventy-nine million, three hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 71 142 284 2749 5041 5498 10082 10996 20164 195179 390358 780716 7557001 13857709 15114002 27715418 30228004 55430836 536547071 1073094142 2146188284 38094842041 76189684082 152379368164