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152413222324 = 22112928946279
BaseRepresentation
bin1000110111110010001…
…0010011010110110100
3112120101221100220120011
42031330202103112310
54444120241103244
6154003452150004
714003641004566
oct2157442232664
9476357326504
10152413222324
1159702321870
1225656a68304
13114ac51756c
14753c093336
153e708b8434
hex237c8935b4

152413222324 has 72 divisors (see below), whose sum is σ = 304742692800. Its totient is φ = 66136815360.

The previous prime is 152413222321. The next prime is 152413222327. The reversal of 152413222324 is 423222314251.

It is a happy number.

152413222324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152413222321) and next prime (152413222327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152413222321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3270217 + ... + 3316495.

It is an arithmetic number, because the mean of its divisors is an integer number (4232537400).

Almost surely, 2152413222324 is an apocalyptic number.

It is an amenable number.

152413222324 is a deficient number, since it is larger than the sum of its proper divisors (152329470476).

152413222324 is a wasteful number, since it uses less digits than its factorization.

152413222324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46441 (or 46410 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

Adding to 152413222324 its reverse (423222314251), we get a palindrome (575635536575).

The spelling of 152413222324 in words is "one hundred fifty-two billion, four hundred thirteen million, two hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 29 44 58 89 116 178 319 356 638 841 979 1276 1682 1958 2581 3364 3916 5162 9251 10324 18502 28391 37004 46279 56782 74849 92558 113564 149698 185116 299396 509069 823339 1018138 1342091 1646678 2036276 2684182 3293356 4118831 5368364 8237662 14763001 16475324 29526002 38920639 45307141 59052004 77841278 90614282 119446099 155682556 181228564 238892198 428127029 477784396 856254058 1313907089 1712508116 2627814178 3463936871 5255628356 6927873742 13855747484 38103305581 76206611162 152413222324