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230699012544 = 263371113413253
BaseRepresentation
bin1101011011011010111…
…0111001000111000000
3211001110210220002211000
43112312232321013000
512234432421400134
6253552012252000
722444636152210
oct3266656710700
9731423802730
10230699012544
118992563a750
1238864771000
13189a7469060
14b2472c8240
156003627e99
hex35b6bb91c0

230699012544 has 896 divisors, whose sum is σ = 933103503360. Its totient is φ = 53946777600.

The previous prime is 230699012519. The next prime is 230699012569. The reversal of 230699012544 is 445210996032.

230699012544 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 9 + 90 + 12 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (230699012519) and next prime (230699012569).

It is a self number, because there is not a number n which added to its sum of digits gives 230699012544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70917222 + ... + 70920474.

It is an arithmetic number, because the mean of its divisors is an integer number (1041410160).

Almost surely, 2230699012544 is an apocalyptic number.

230699012544 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 230699012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466551751680).

230699012544 is an abundant number, since it is smaller than the sum of its proper divisors (702404490816).

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

230699012544 is a wasteful number, since it uses less digits than its factorization.

230699012544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 230699012544 in words is "two hundred thirty billion, six hundred ninety-nine million, twelve thousand, five hundred forty-four".