Search a number
-
+
271530398664 = 23357171173749
BaseRepresentation
bin1111110011100001111…
…0010001001111001000
3221221212102100102200000
43330320132101033020
513422043240224124
6324423410443000
725421530210230
oct3747036211710
9857772312600
10271530398664
11a5178916458
124475ab93460
131c7b3840365
14d1dc070cc0
1570e30d66c9
hex3f387913c8

271530398664 has 192 divisors, whose sum is σ = 922849200000. Its totient is φ = 73016515584.

The previous prime is 271530398641. The next prime is 271530398669. The reversal of 271530398664 is 466893035172.

271530398664 is a `hidden beast` number, since 2 + 71 + 530 + 39 + 8 + 6 + 6 + 4 = 666.

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 271530398664.

It is not an unprimeable number, because it can be changed into a prime (271530398669) 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, 355539 + ... + 818210.

It is an arithmetic number, because the mean of its divisors is an integer number (4806506250).

It is a 1-persistent number, because it is pandigital, but 2⋅271530398664 = 543060797328 is not.

Almost surely, 2271530398664 is an apocalyptic number.

271530398664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

271530398664 is an abundant number, since it is smaller than the sum of its proper divisors (651318801336).

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

271530398664 is a wasteful number, since it uses less digits than its factorization.

271530398664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173794 (or 1173778 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 271530398664 in words is "two hundred seventy-one billion, five hundred thirty million, three hundred ninety-eight thousand, six hundred sixty-four".