Search a number
-
+
18963560150089 = 79219922772
BaseRepresentation
bin1000100111111010011000…
…10001000011010001001001
32111010220021010000220110221
410103331030101003101021
54441144332344300324
6104155423403110041
73665033461452232
oct423751421032111
974126233026427
1018963560150089
116051445364605
122163321b12321
13a77343702639
14497bac3c2089
1522d4444770e4
hex113f4c443449

18963560150089 has 27 divisors (see below), whose sum is σ = 19373584391847. Its totient is φ = 18562172820048.

The previous prime is 18963560150077. The next prime is 18963560150113. The reversal of 18963560150089 is 98005106536981.

The square root of 18963560150089 is 4354717.

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., 3268556647225 + 15695003502864 = 1807915^2 + 3961692^2 .

It is not a de Polignac number, because 18963560150089 - 227 = 18963425932361 is a prime.

It is a super-2 number, since 2×189635601500892 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18963560150069) 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 26 ways as a sum of consecutive naturals, for example, 68460505819 + ... + 68460506095.

It is an arithmetic number, because the mean of its divisors is an integer number (717540162661).

Almost surely, 218963560150089 is an apocalyptic number.

18963560150089 is the 4354717-th square number.

18963560150089 is the 2177359-th centered octagonal number.

It is an amenable number.

18963560150089 is a deficient number, since it is larger than the sum of its proper divisors (410024241758).

18963560150089 is an frugal number, since it uses more digits than its factorization.

18963560150089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 18963560150089 in words is "eighteen trillion, nine hundred sixty-three billion, five hundred sixty million, one hundred fifty thousand, eighty-nine".

Divisors: 1 79 199 277 6241 15721 21883 39601 55123 76729 1241959 1728757 3128479 4354717 6061591 10969477 15269071 247149841 344022643 478865689 866588683 1206256609 3038545129 68460505957 95294272111 240045065191 18963560150089