Search a number
-
+
3151050416352 = 25351515774651
BaseRepresentation
bin101101110110101001001…
…111011010000011100000
3102011020102010021110200000
4231312221033122003200
5403111322401310402
610411323402100000
7443440652416506
oct55665117320340
912136363243600
103151050416352
1110053978a3213
1242a8404aa600
1319b1b18bc2a7
14ac723d9a676
1556e75662c1c
hex2dda93da0e0

3151050416352 has 288 divisors, whose sum is σ = 9372448560384. Its totient is φ = 1041361920000.

The previous prime is 3151050416351. The next prime is 3151050416359. The reversal of 3151050416352 is 2536140501513.

3151050416352 is a `hidden beast` number, since 3 + 1 + 5 + 10 + 5 + 0 + 4 + 1 + 635 + 2 = 666.

3151050416352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31510504163522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3151050416351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677497227 + ... + 677501877.

It is an arithmetic number, because the mean of its divisors is an integer number (32543224168).

Almost surely, 23151050416352 is an apocalyptic number.

3151050416352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3151050416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686224280192).

3151050416352 is an abundant number, since it is smaller than the sum of its proper divisors (6221398144032).

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

3151050416352 is a wasteful number, since it uses less digits than its factorization.

3151050416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 3151050416352 its reverse (2536140501513), we get a palindrome (5687190917865).

The spelling of 3151050416352 in words is "three trillion, one hundred fifty-one billion, fifty million, four hundred sixteen thousand, three hundred fifty-two".