Search a number
-
+
90802486472 = 23374161173709
BaseRepresentation
bin101010010010000111…
…1111111110011001000
322200101011220020121112
41110210033333303020
52441430414031342
6105414124225452
76363112254155
oct1244417776310
9280334806545
1090802486472
1135566700055
121572169b288
138741165b49
14457571322c
152566a45682
hex15243ffcc8

90802486472 has 128 divisors (see below), whose sum is σ = 183367951200. Its totient is φ = 42085785600.

The previous prime is 90802486457. The next prime is 90802486487. The reversal of 90802486472 is 27468420809.

It is an interprime number because it is at equal distance from previous prime (90802486457) and next prime (90802486487).

It can be written as a sum of positive squares in 16 ways, for example, as 450543076 + 90351943396 = 21226^2 + 300586^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90802486472.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128070854 + ... + 128071562.

Almost surely, 290802486472 is an apocalyptic number.

It is an amenable number.

90802486472 is an abundant number, since it is smaller than the sum of its proper divisors (92565464728).

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

90802486472 is a wasteful number, since it uses less digits than its factorization.

90802486472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 90802486472 in words is "ninety billion, eight hundred two million, four hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 37 41 61 74 82 122 148 164 173 244 296 328 346 488 692 709 1384 1418 1517 2257 2501 2836 3034 4514 5002 5672 6068 6401 7093 9028 10004 10553 12136 12802 14186 18056 20008 21106 25604 26233 28372 29069 42212 43249 51208 52466 56744 58138 84424 86498 92537 104932 116276 122657 172996 185074 209864 232552 245314 262441 345992 370148 390461 432673 490628 524882 740296 780922 865346 981256 1049764 1075553 1561844 1600213 1730692 1773209 2099528 2151106 3123688 3200426 3461384 3546418 4302212 4538309 5028937 6400852 7092836 7482077 8604424 9076618 10057874 12801704 14185672 14964154 16008901 18153236 20115748 29928308 32017802 36306472 40231496 59856616 64035604 65608733 128071208 131217466 186070669 262434932 276836849 306765157 372141338 524869864 553673698 613530314 744282676 1107347396 1227060628 1488565352 2214694792 2454121256 11350310809 22700621618 45401243236 90802486472