Search a number
-
+
131565054352116 = 2237111011409766559
BaseRepresentation
bin11101111010100001100000…
…010101000101101011110100
3122020211111101211212220220010
4131322201200111011223310
5114221030212403231431
61143452052424140220
736466155460204260
oct3572414025055364
9566744354786803
10131565054352116
1138a14476319190
121290a232607670
1358546ba607868
14246bad568b0a0
151032497c86846
hex77a860545af4

131565054352116 has 96 divisors (see below), whose sum is σ = 386524156354560. Its totient is φ = 33834397392000.

The previous prime is 131565054352091. The next prime is 131565054352133. The reversal of 131565054352116 is 611253450565131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704789956 + ... + 704976603.

It is an arithmetic number, because the mean of its divisors is an integer number (4026293295360).

Almost surely, 2131565054352116 is an apocalyptic number.

It is an amenable number.

131565054352116 is an abundant number, since it is smaller than the sum of its proper divisors (254959102002444).

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

131565054352116 is a wasteful number, since it uses less digits than its factorization.

131565054352116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409766685 (or 1409766683 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 131565054352116 in words is "one hundred thirty-one trillion, five hundred sixty-five billion, fifty-four million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 93324 1409766559 2819533118 4229299677 5639066236 8458599354 9868365913 15507432149 16917198708 19736731826 29605097739 31014864298 39473463652 46522296447 59210195478 62029728596 93044592894 108552025043 118420390956 142386422459 186089185788 217104050086 284772844918 325656075129 427159267377 434208100172 569545689836 651312150258 854318534754 996704957213 1302624300516 1566250647049 1708637069508 1993409914426 2990114871639 3132501294098 3986819828852 4698751941147 5980229743278 6265002588196 9397503882294 10963754529343 11960459486556 18795007764588 21927509058686 32891263588029 43855018117372 65782527176058 131565054352116