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1023848253120 = 2635711231314597
BaseRepresentation
bin11101110011000100001…
…11001000011011000000
310121212201202010012121010
432321202013020123000
5113233320123044440
62102203245200520
7133653625362540
oct16714207103300
93555652105533
101023848253120
113652367134a0
12146518860140
1375719003b14
14377a9861320
151b975280580
hexee621c86c0

1023848253120 has 896 divisors, whose sum is σ = 4262263898112. Its totient is φ = 201900441600.

The previous prime is 1023848253119. The next prime is 1023848253203. The reversal of 1023848253120 is 213528483201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222718662 + ... + 222723258.

Almost surely, 21023848253120 is an apocalyptic number.

1023848253120 is a gapful number since it is divisible by the number (10) 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 1023848253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131131949056).

1023848253120 is an abundant number, since it is smaller than the sum of its proper divisors (3238415644992).

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

1023848253120 is a wasteful number, since it uses less digits than its factorization.

1023848253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 1023848253120 in words is "one trillion, twenty-three billion, eight hundred forty-eight million, two hundred fifty-three thousand, one hundred twenty".