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214097371488 = 253272111328161
BaseRepresentation
bin1100011101100100110…
…0101010000101100000
3202110121210222100122100
43013121030222011200
512001432411341423
6242204401410400
721316350426300
oct3073114520540
9673553870570
10214097371488
1182886426040
12355b0939a00
131725cb61300
14a5104a3600
155880ddd343
hex31d932a160

214097371488 has 648 divisors, whose sum is σ = 836734514616. Its totient is φ = 51325747200.

The previous prime is 214097371429. The next prime is 214097371489. The reversal of 214097371488 is 884173790412.

214097371488 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 97 + 3 + 71 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214097371489) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26230128 + ... + 26238288.

It is an arithmetic number, because the mean of its divisors is an integer number (1291256967).

Almost surely, 2214097371488 is an apocalyptic number.

214097371488 is a gapful number since it is divisible by the number (28) 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 214097371488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418367257308).

214097371488 is an abundant number, since it is smaller than the sum of its proper divisors (622637143128).

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

214097371488 is a wasteful number, since it uses less digits than its factorization.

214097371488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

It can be divided in two parts, 214097 and 371488, that added together give a palindrome (585585).

The spelling of 214097371488 in words is "two hundred fourteen billion, ninety-seven million, three hundred seventy-one thousand, four hundred eighty-eight".