Search a number
-
+
46565166156564 = 22311877402242201
BaseRepresentation
bin10101001011001110011000…
…01100000000101100010100
320002212120211111022000201110
422211213030030000230110
522100410430014002224
6243011424135255020
712544136140450116
oct1245471414005424
9202776744260643
1046565166156564
11139231a3386960
125280783b1a470
131cca0cb8c8b83
14b6daa21353b6
1555b400863929
hex2a59cc300b14

46565166156564 has 48 divisors (see below), whose sum is σ = 118664667527616. Its totient is φ = 14094566688000.

The previous prime is 46565166156529. The next prime is 46565166156577.

46565166156564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46565166156495 and 46565166156504.

It is a congruent number.

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, 201005337 + ... + 201236864.

It is an arithmetic number, because the mean of its divisors is an integer number (2472180573492).

Almost surely, 246565166156564 is an apocalyptic number.

46565166156564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46565166156564 is an abundant number, since it is smaller than the sum of its proper divisors (72099501371052).

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

46565166156564 is a wasteful number, since it uses less digits than its factorization.

46565166156564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402243096 (or 402243094 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 46565166156564 in words is "forty-six trillion, five hundred sixty-five billion, one hundred sixty-six million, one hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 877 1754 2631 3508 5262 9647 10524 19294 28941 38588 57882 115764 402242201 804484402 1206726603 1608968804 2413453206 4424664211 4826906412 8849328422 13273992633 17698656844 26547985266 53095970532 352766410277 705532820554 1058299230831 1411065641108 2116598461662 3880430513047 4233196923324 7760861026094 11641291539141 15521722052188 23282583078282 46565166156564