Search a number
-
+
1147369099968 = 263271328320287
BaseRepresentation
bin10000101100100100100…
…001110001001011000000
311001200120010101100222200
4100230210201301023000
5122244302442144333
62235032153433200
7145615606301550
oct20544441611300
94050503340880
101147369099968
11402661a439a3
1216644b70b800
1384272776500
143d766631160
151eca43aec13
hex10b248712c0

1147369099968 has 504 divisors, whose sum is σ = 4119141132288. Its totient is φ = 298942285824.

The previous prime is 1147369099951. The next prime is 1147369099969. The reversal of 1147369099968 is 8699909637411.

It is a happy number.

1147369099968 is a `hidden beast` number, since 1 + 1 + 473 + 6 + 9 + 0 + 9 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×11473690999682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1147369099896 and 1147369099905.

It is not an unprimeable number, because it can be changed into a prime (1147369099969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56546721 + ... + 56567007.

It is an arithmetic number, because the mean of its divisors is an integer number (8172899072).

Almost surely, 21147369099968 is an apocalyptic number.

1147369099968 is a gapful number since it is divisible by the number (18) 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 1147369099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059570566144).

1147369099968 is an abundant number, since it is smaller than the sum of its proper divisors (2971772032320).

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

1147369099968 is a wasteful number, since it uses less digits than its factorization.

1147369099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20421 (or 20395 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 1147369099968 in words is "one trillion, one hundred forty-seven billion, three hundred sixty-nine million, ninety-nine thousand, nine hundred sixty-eight".