Search a number
-
+
465670351644 = 2231923115377017
BaseRepresentation
bin1101100011011000001…
…11011010101100011100
31122111222100220212212220
412301230013122230130
530112143102223034
6553532003425340
745433513452111
oct6615407325434
91574870825786
10465670351644
1116a542856593
1276300085250
1334bb2a85594
1418777b74908
15c1a6d6a749
hex6c6c1dab1c

465670351644 has 96 divisors (see below), whose sum is σ = 1194530695680. Its totient is φ = 140536332288.

The previous prime is 465670351613. The next prime is 465670351711. The reversal of 465670351644 is 446153076564.

465670351644 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4656703516442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6007824 + ... + 6084840.

It is an arithmetic number, because the mean of its divisors is an integer number (12443028080).

Almost surely, 2465670351644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465670351644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597265347840).

465670351644 is an abundant number, since it is smaller than the sum of its proper divisors (728860344036).

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

465670351644 is a wasteful number, since it uses less digits than its factorization.

465670351644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78219 (or 78217 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 465670351644 in words is "four hundred sixty-five billion, six hundred seventy million, three hundred fifty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1153 1311 1748 2306 2622 3459 4612 5244 6918 13836 21907 26519 43814 53038 65721 77017 79557 87628 106076 131442 154034 159114 231051 262884 308068 318228 462102 503861 924204 1007722 1463323 1511583 1771391 2015444 2926646 3023166 3542782 4389969 5314173 5853292 6046332 7085564 8779938 10628346 17559876 21256692 33656429 67312858 88800601 100969287 134625716 177601202 201938574 266401803 355202404 403877148 532803606 1065607212 1687211419 2042413823 3374422838 4084827646 5061634257 6127241469 6748845676 8169655292 10123268514 12254482938 20246537028 24508965876 38805862637 77611725274 116417587911 155223450548 232835175822 465670351644