Search a number
-
+
2132155158336 = 2633719331829
BaseRepresentation
bin11111000001101110010…
…110011100111101000000
321112211110120002111001000
4133001232112130331000
5234413123210031321
64311255404412000
7310020535546620
oct37015626347500
97484416074030
102132155158336
11752273002305
122a5286547000
131260a4a9a008
14752a8282880
153a6e0151826
hex1f06e59cf40

2132155158336 has 896 divisors, whose sum is σ = 7814844416000. Its totient is φ = 557834065920.

The previous prime is 2132155158319. The next prime is 2132155158349. The reversal of 2132155158336 is 6338515512312.

2132155158336 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 15 + 51 + 583 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2132155158291 and 2132155158300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2571959970 + ... + 2571960798.

Almost surely, 22132155158336 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 2132155158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907422208000).

2132155158336 is an abundant number, since it is smaller than the sum of its proper divisors (5682689257664).

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

2132155158336 is an equidigital number, since it uses as much as digits as its factorization.

2132155158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 891 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 2132155158336 in words is "two trillion, one hundred thirty-two billion, one hundred fifty-five million, one hundred fifty-eight thousand, three hundred thirty-six".