Search a number
-
+
152064234652 = 221123141247193
BaseRepresentation
bin1000110110011110111…
…1000001010010011100
3112112111121200111110211
42031213233001102130
54442411421002102
6153505104142204
713662202445041
oct2154757012234
9475447614424
10152064234652
1159543329200
122557a007964
1311455127095
1475079ab1c8
153e4ee2e7d7
hex2367bc149c

152064234652 has 72 divisors (see below), whose sum is σ = 309304953216. Its totient is φ = 65258688000.

The previous prime is 152064234601. The next prime is 152064234667. The reversal of 152064234652 is 256432460251.

It is a happy number.

152064234652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520642346522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 491568 + ... + 738760.

It is an arithmetic number, because the mean of its divisors is an integer number (4295902128).

Almost surely, 2152064234652 is an apocalyptic number.

It is an amenable number.

152064234652 is an abundant number, since it is smaller than the sum of its proper divisors (157240718564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152064234652 is a wasteful number, since it uses less digits than its factorization.

152064234652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247291 (or 247278 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 152064234652 in words is "one hundred fifty-two billion, sixty-four million, two hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 4 11 22 31 41 44 62 82 121 124 164 242 341 451 484 682 902 1271 1364 1804 2542 3751 4961 5084 7502 9922 13981 15004 19844 27962 55924 153791 247193 307582 494386 615164 988772 2719123 5438246 7662983 10134913 10876492 15325966 20269826 29910353 30651932 40539652 59820706 84292813 111484043 119641412 168585626 222968086 314182303 337171252 445936172 628364606 927220943 1226324473 1256729212 1854441886 2452648946 3456005333 3708883772 4905297892 6912010666 13824021332 38016058663 76032117326 152064234652