Search a number
-
+
466415602656 = 25311117437033
BaseRepresentation
bin1101100100110001000…
…10010100101111100000
31122120220022020120002020
412302120202110233200
530120204343241111
6554133545021440
745461133131433
oct6623042245740
91576808216066
10466415602656
1116a8954a2713
1276489784880
1334ca12a9603
1418808b2b81a
15c1ec4ca906
hex6c98894be0

466415602656 has 48 divisors (see below), whose sum is σ = 1224453891024. Its totient is φ = 155457526784.

The previous prime is 466415602651. The next prime is 466415602789. The reversal of 466415602656 is 656206514664.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 466415602599 and 466415602608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466415602651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848716 + ... + 1285748.

It is an arithmetic number, because the mean of its divisors is an integer number (25509456063).

Almost surely, 2466415602656 is an apocalyptic number.

It is an amenable number.

466415602656 is an abundant number, since it is smaller than the sum of its proper divisors (758038288368).

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

466415602656 is a wasteful number, since it uses less digits than its factorization.

466415602656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448163 (or 448155 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 466415602656 in words is "four hundred sixty-six billion, four hundred fifteen million, six hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11117 22234 33351 44468 66702 88936 133404 177872 266808 355744 437033 533616 874066 1067232 1311099 1748132 2622198 3496264 5244396 6992528 10488792 13985056 20977584 41955168 4858495861 9716991722 14575487583 19433983444 29150975166 38867966888 58301950332 77735933776 116603900664 155471867552 233207801328 466415602656