Search a number
-
+
433450243187016 = 233111796579822457
BaseRepresentation
bin110001010001110000111111…
…1110001011110000101001000
32002211201102211201012212120020
41202203201333301132011020
5423303122044223441031
64133512143123500440
7160204514045460516
oct14243417761360510
92084642751185506
10433450243187016
11116124241288880
1240745689527720
13157b224b093593
1479071648054b6
15351a07ee25096
hex18a387fc5e148

433450243187016 has 64 divisors (see below), whose sum is σ = 1251674499055680. Its totient is φ = 123622172743680.

The previous prime is 433450243186979. The next prime is 433450243187107. The reversal of 433450243187016 is 610781342054334.

It is a super-2 number, since 2×4334502431870162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 433450243187016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48289906741 + ... + 48289915716.

It is an arithmetic number, because the mean of its divisors is an integer number (19557414047745).

Almost surely, 2433450243187016 is an apocalyptic number.

It is an amenable number.

433450243187016 is an abundant number, since it is smaller than the sum of its proper divisors (818224255868664).

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

433450243187016 is a wasteful number, since it uses less digits than its factorization.

433450243187016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96579822494 (or 96579822490 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 433450243187016 in words is "four hundred thirty-three trillion, four hundred fifty billion, two hundred forty-three million, one hundred eighty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 96579822457 193159644914 289739467371 386319289828 579478934742 772638579656 1062378047027 1158957869484 1641856981769 2124756094054 2317915738968 3187134141081 3283713963538 4249512188108 4925570945307 6374268282162 6567427927076 8499024376216 9851141890614 12748536564324 13134855854152 18060426799459 19702283781228 25497073128648 36120853598918 39404567562456 54181280398377 72241707197836 108362560796754 144483414395672 216725121593508 433450243187016