Search a number
-
+
90569698704 = 24323128092
BaseRepresentation
bin101010001011001011…
…1111110110110010000
322122202221212101211100
41110112113332312100
52440441320324304
6105335050544400
76354254510502
oct1242627766620
9278687771740
1090569698704
1135457263171
1215677738100
138704b6b9c4
144552837d72
1525513b1439
hex15165fed90

90569698704 has 135 divisors (see below), whose sum is σ = 262233697089. Its totient is φ = 29179918080.

The previous prime is 90569698691. The next prime is 90569698717. The reversal of 90569698704 is 40789696509.

It is a happy number.

The square root of 90569698704 is 300948.

It is a perfect power (a square), and thus also a powerful number.

90569698704 is a `hidden beast` number, since 9 + 0 + 569 + 69 + 8 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (90569698691) and next prime (90569698717).

It can be written as a sum of positive squares in only one way, i.e., 79720393104 + 10849305600 = 282348^2 + 104160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111952252 + ... + 111953060.

Almost surely, 290569698704 is an apocalyptic number.

90569698704 is the 300948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90569698704

90569698704 is an abundant number, since it is smaller than the sum of its proper divisors (171663998385).

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

90569698704 is an equidigital number, since it uses as much as digits as its factorization.

90569698704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 90569698704 in words is "ninety billion, five hundred sixty-nine million, six hundred ninety-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 809 961 1116 1488 1618 1922 2232 2427 2883 3236 3844 4464 4854 5766 6472 7281 7688 8649 9708 11532 12944 14562 15376 17298 19416 23064 25079 29124 34596 38832 46128 50158 58248 69192 75237 100316 116496 138384 150474 200632 225711 300948 401264 451422 601896 654481 777449 902844 1203792 1308962 1554898 1805688 1963443 2332347 2617924 3109796 3611376 3926886 4664694 5235848 5890329 6219592 6997041 7853772 9329388 10471696 11780658 12439184 13994082 15707544 18658776 20288911 23561316 27988164 31415088 37317552 40577822 47122632 55976328 60866733 81155644 94245264 111952656 121733466 162311288 182600199 243466932 324622576 365200398 486933864 628956241 730400796 973867728 1257912482 1460801592 1886868723 2515824964 2921603184 3773737446 5031649928 5660606169 7547474892 10063299856 11321212338 15094949784 22642424676 30189899568 45284849352 90569698704