Search a number
-
+
131965553916 = 22337971799563
BaseRepresentation
bin111101011100111000…
…0101000110011111100
3110121121220110201201000
41322321300220303330
54130231140211131
6140342451450300
712351141462150
oct1727160506374
9417556421630
10131965553916
1150a6a129959
12216aabb6990
13c5a117b2a1
14655c559060
1536756bece6
hex1eb9c28cfc

131965553916 has 96 divisors (see below), whose sum is σ = 395040289280. Its totient is φ = 37315717632.

The previous prime is 131965553899. The next prime is 131965553933. The reversal of 131965553916 is 619355569131.

131965553916 is a `hidden beast` number, since 1 + 3 + 1 + 96 + 5 + 5 + 539 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (131965553899) and next prime (131965553933).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 826450 + ... + 973113.

Almost surely, 2131965553916 is an apocalyptic number.

It is an amenable number.

131965553916 is an abundant number, since it is smaller than the sum of its proper divisors (263074735364).

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

131965553916 is a wasteful number, since it uses less digits than its factorization.

131965553916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799680 (or 1799672 counting only the distinct ones).

The product of its digits is 3280500, while the sum is 54.

The spelling of 131965553916 in words is "one hundred thirty-one billion, nine hundred sixty-five million, five hundred fifty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 10476 12222 18333 24444 36666 73332 1799563 3599126 5398689 7198252 10797378 12596941 16196067 21594756 25193882 32392134 37790823 48588201 50387764 64784268 75581646 97176402 113372469 151163292 174557611 194352804 226744938 340117407 349115222 453489876 523672833 680234814 698230444 1047345666 1221903277 1360469628 1571018499 2094691332 2443806554 3142036998 3665709831 4713055497 4887613108 6284073996 7331419662 9426110994 10997129493 14662839324 18852221988 21994258986 32991388479 43988517972 65982776958 131965553916