Search a number
-
+
466704888407664 = 24332083303058271
BaseRepresentation
bin110101000011101110011001…
…1000101101010011001110000
32021012110112220010002102101220
41222013130303011222121300
5442132443102413021124
64332333133233225040
7200206213131120204
oct15207346305523160
92235415803072356
10466704888407664
11125785482597885
124441664aa02180
131705510b5b277a
1483368cc3a8b04
1538e50e9e83879
hex1a8773316a670

466704888407664 has 40 divisors (see below), whose sum is σ = 1205691878257152. Its totient is φ = 155563446690240.

The previous prime is 466704888407567. The next prime is 466704888407731.

466704888407664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4667048884076642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 466704888407664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149989152 + ... + 153069119.

Almost surely, 2466704888407664 is an apocalyptic number.

It is an amenable number.

466704888407664 is an abundant number, since it is smaller than the sum of its proper divisors (738986989849488).

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

466704888407664 is a wasteful number, since it uses less digits than its factorization.

466704888407664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303090365 (or 303090359 counting only the distinct ones).

The product of its (nonzero) digits is 8323596288, while the sum is 78.

The spelling of 466704888407664 in words is "four hundred sixty-six trillion, seven hundred four billion, eight hundred eighty-eight million, four hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 32083 64166 96249 128332 192498 256664 384996 513328 769992 1539984 303058271 606116542 909174813 1212233084 1818349626 2424466168 3636699252 4848932336 7273398504 14546797008 9723018508493 19446037016986 29169055525479 38892074033972 58338111050958 77784148067944 116676222101916 155568296135888 233352444203832 466704888407664