Search a number
-
+
27030212352 = 28331113232941
BaseRepresentation
bin11001001011001000…
…000100111100000000
32120202210010001121000
4121023020010330000
5420324213243402
620230103132000
71644556004553
oct311310047400
976683101530
1027030212352
1110510939680
1252a4444000
13271a02b3c0
141445c6869a
15a83051c1c
hex64b204f00

27030212352 has 1152 divisors, whose sum is σ = 103841740800. Its totient is φ = 6812467200.

The previous prime is 27030212333. The next prime is 27030212357. The reversal of 27030212352 is 25321203072.

It is a happy number.

27030212352 is a `hidden beast` number, since 2 + 7 + 0 + 302 + 1 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27030212357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659273452 + ... + 659273492.

It is an arithmetic number, because the mean of its divisors is an integer number (90140400).

Almost surely, 227030212352 is an apocalyptic number.

27030212352 is a gapful number since it is divisible by the number (22) 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 27030212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51920870400).

27030212352 is an abundant number, since it is smaller than the sum of its proper divisors (76811528448).

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

27030212352 is a wasteful number, since it uses less digits than its factorization.

27030212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 27030212352 in words is "twenty-seven billion, thirty million, two hundred twelve thousand, three hundred fifty-two".