Search a number
-
+
2156654223360 = 213325713531213
BaseRepresentation
bin11111011000100010100…
…110111110000000000000
321122011200221101221020200
4133120202212332000000
5240313311440121420
64330430412405200
7311545621301310
oct37304246760000
97564627357220
102156654223360
117616a50a348a
122a9b83176800
131284aa5b19b0
147654dcad440
153b175d73b90
hex1f6229be000

2156654223360 has 1344 divisors, whose sum is σ = 9382498489728. Its totient is φ = 446076813312.

The previous prime is 2156654223343. The next prime is 2156654223379. The reversal of 2156654223360 is 633224566512.

2156654223360 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 65 + 4 + 223 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1777950114 + ... + 1777951326.

It is an arithmetic number, because the mean of its divisors is an integer number (6981025662).

Almost surely, 22156654223360 is an apocalyptic number.

2156654223360 is a gapful number since it is divisible by the number (20) 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 2156654223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691249244864).

2156654223360 is an abundant number, since it is smaller than the sum of its proper divisors (7225844266368).

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

2156654223360 is a wasteful number, since it uses less digits than its factorization.

2156654223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 2156654223360 its reverse (633224566512), we get a palindrome (2789878789872).

The spelling of 2156654223360 in words is "two trillion, one hundred fifty-six billion, six hundred fifty-four million, two hundred twenty-three thousand, three hundred sixty".