Search a number
-
+
40656832896 = 2733732761
BaseRepresentation
bin100101110111010101…
…100000100110000000
310212221110000002211210
4211313111200212000
51131231122123041
630402201010120
72636341243341
oct456725404600
9125843002753
1040656832896
11162737a4349
127a67a83940
133aac189694
141d7990a0c8
1510ce4ce016
hex977560980

40656832896 has 96 divisors (see below), whose sum is σ = 108427311720. Its totient is φ = 13498183680.

The previous prime is 40656832891. The next prime is 40656832927. The reversal of 40656832896 is 69823865604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×406568328962 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40656832891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53425156 + ... + 53425916.

Almost surely, 240656832896 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 40656832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54213655860).

40656832896 is an abundant number, since it is smaller than the sum of its proper divisors (67770478824).

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

40656832896 is an frugal number, since it uses more digits than its factorization.

40656832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 40656832896 in words is "forty billion, six hundred fifty-six million, eight hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 746 761 1119 1492 1522 2238 2283 2984 3044 4476 4566 5968 6088 8952 9132 11936 12176 17904 18264 23872 24352 35808 36528 47744 48704 71616 73056 97408 139129 143232 146112 278258 283853 292224 417387 556516 567706 834774 851559 1113032 1135412 1669548 1703118 2226064 2270824 3339096 3406236 4452128 4541648 6678192 6812472 8904256 9083296 13356384 13624944 17808512 18166592 26712768 27249888 36333184 53425536 54499776 105877169 108999552 211754338 317631507 423508676 635263014 847017352 1270526028 1694034704 2541052056 3388069408 5082104112 6776138816 10164208224 13552277632 20328416448 40656832896