Search a number
-
+
86760009216 = 293218828127
BaseRepresentation
bin101000011001101001…
…1001010111000000000
322021221110021010022200
41100303103022320000
52410141030243331
6103505040033200
76160664624166
oct1206323127000
9267843233280
1086760009216
1133881844061
1214993902800
1382487c117a
1442b08a3236
1523cbbce5e6
hex14334cae00

86760009216 has 60 divisors (see below), whose sum is σ = 250395274272. Its totient is φ = 28920001536.

The previous prime is 86760009211. The next prime is 86760009251. The reversal of 86760009216 is 61290006768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86760009211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9409456 + ... + 9418671.

Almost surely, 286760009216 is an apocalyptic number.

It is an amenable number.

86760009216 is an abundant number, since it is smaller than the sum of its proper divisors (163635265056).

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

86760009216 is a wasteful number, since it uses less digits than its factorization.

86760009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18828151 (or 18828132 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86760009216 in words is "eighty-six billion, seven hundred sixty million, nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 18828127 37656254 56484381 75312508 112968762 150625016 169453143 225937524 301250032 338906286 451875048 602500064 677812572 903750096 1205000128 1355625144 1807500192 2410000256 2711250288 3615000384 4820000512 5422500576 7230000768 9640001024 10845001152 14460001536 21690002304 28920003072 43380004608 86760009216