Search a number
-
+
270993752064 = 21533731947
BaseRepresentation
bin1111110001100001111…
…1001000000000000000
3221220111000112221221000
43330120133020000000
513414443400031224
6324254240332000
725402322613000
oct3743037100000
9856430487830
10270993752064
11a4a229a9972
124462b314000
131c7295c6ba9
14d18aa9a000
1570b0e300c9
hex3f187c8000

270993752064 has 1024 divisors, whose sum is σ = 1006617600000. Its totient is φ = 71791017984.

The previous prime is 270993752063. The next prime is 270993752101. The reversal of 270993752064 is 460257399072.

270993752064 is a `hidden beast` number, since 27 + 0 + 9 + 9 + 37 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×2709937520642 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270993752064.

It is not an unprimeable number, because it can be changed into a prime (270993752063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5765824489 + ... + 5765824535.

It is an arithmetic number, because the mean of its divisors is an integer number (983025000).

Almost surely, 2270993752064 is an apocalyptic number.

270993752064 is a gapful number since it is divisible by the number (24) 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 270993752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503308800000).

270993752064 is an abundant number, since it is smaller than the sum of its proper divisors (735623847936).

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

270993752064 is an frugal number, since it uses more digits than its factorization.

270993752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 270993752064 in words is "two hundred seventy billion, nine hundred ninety-three million, seven hundred fifty-two thousand, sixty-four".