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245329244160 = 21235711133989
BaseRepresentation
bin1110010001111011000…
…0110011000000000000
3212110020102020212122020
43210132300303000000
513004413241303120
6304411441041440
723503326111540
oct3443660630000
9773212225566
10245329244160
1195052a65260
123b668326280
131a1994ca040
14bc34377320
1565acc4b640
hex391ec33000

245329244160 has 832 divisors, whose sum is σ = 1054193495040. Its totient is φ = 47044362240.

The previous prime is 245329244159. The next prime is 245329244179. The reversal of 245329244160 is 61442923542.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61499446 + ... + 61503434.

Almost surely, 2245329244160 is an apocalyptic number.

245329244160 is a gapful number since it is divisible by the number (20) 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 245329244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527096747520).

245329244160 is an abundant number, since it is smaller than the sum of its proper divisors (808864250880).

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

245329244160 is a wasteful number, since it uses less digits than its factorization.

245329244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 245329244160 in words is "two hundred forty-five billion, three hundred twenty-nine million, two hundred forty-four thousand, one hundred sixty".