Search a number
-
+
15190942208 = 291324192
BaseRepresentation
bin11100010010111001…
…10110001000000000
31110012200102211011012
432021130312020000
5222102340122313
610551214340052
71045305610151
oct161134661000
943180384135
1015190942208
1164959887a2
122b3b4ba628
131581281600
14a41729928
155dd97eda8
hex389736200

15190942208 has 90 divisors (see below), whose sum is σ = 32945227029. Its totient is φ = 6994470912.

The previous prime is 15190942201. The next prime is 15190942211. The reversal of 15190942208 is 80224909151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12988705024 + 2202237184 = 113968^2 + 46928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=87152.

It is not an unprimeable number, because it can be changed into a prime (15190942201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36255023 + ... + 36255441.

Almost surely, 215190942208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15190942208

15190942208 is an abundant number, since it is smaller than the sum of its proper divisors (17754284821).

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

15190942208 is an frugal number, since it uses more digits than its factorization.

15190942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 15190942208 in words is "fifteen billion, one hundred ninety million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 419 512 676 832 838 1352 1664 1676 2704 3328 3352 5408 5447 6656 6704 10816 10894 13408 21632 21788 26816 43264 43576 53632 70811 86528 87152 107264 141622 174304 175561 214528 283244 348608 351122 566488 697216 702244 1132976 1394432 1404488 2265952 2282293 2788864 2808976 4531904 4564586 5617952 9063808 9129172 11235904 18127616 18258344 22471808 29669809 36255232 36516688 44943616 59339618 73033376 89887232 118679236 146066752 237358472 292133504 474716944 584267008 949433888 1168534016 1898867776 3797735552 7595471104 15190942208