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152516024089 = 11213227312
BaseRepresentation
bin1000111000001010101…
…0011101011100011001
3112120200002210210001221
42032002222131130121
54444323100232324
6154022003412041
714006326546312
oct2160252353431
9476602723057
10152516024089
1159755357300
1225685384021
13114c78cc400
14754b9b3609
153e799230e4
hex2382a9d719

152516024089 has 27 divisors (see below), whose sum is σ = 181595542527. Its totient is φ = 127938610800.

The previous prime is 152516024081. The next prime is 152516024119. The reversal of 152516024089 is 980420615251.

The square root of 152516024089 is 390533.

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., 22561542025 + 129954482064 = 150205^2 + 360492^2 .

It is not a de Polignac number, because 152516024089 - 23 = 152516024081 is a prime.

It is a super-2 number, since 2×1525160240892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152516024081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55844854 + ... + 55847584.

Almost surely, 2152516024089 is an apocalyptic number.

152516024089 is the 390533-rd square number.

152516024089 is the 195267-th centered octagonal number.

It is an amenable number.

152516024089 is a deficient number, since it is larger than the sum of its proper divisors (29079518438).

152516024089 is an frugal number, since it uses more digits than its factorization.

152516024089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 152516024089 in words is "one hundred fifty-two billion, five hundred sixteen million, twenty-four thousand, eighty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 2731 20449 30041 35503 330451 390533 461539 4295863 5076929 7458361 55846219 82041971 96958693 902461681 1066545623 1260463009 11732001853 13865093099 152516024089