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2093598144 = 2633112171931
BaseRepresentation
bin111110011001001…
…1100010111000000
312101220110210202000
41330302130113000
513241430120034
6543425024000
7102611201451
oct17462342700
95356423660
102093598144
11984866300
124a5185000
13274988c91
1415c0a1128
15c3c00599
hex7cc9c5c0

2093598144 has 672 divisors, whose sum is σ = 7783372800. Its totient is φ = 547430400.

The previous prime is 2093598139. The next prime is 2093598167. The reversal of 2093598144 is 4418953902.

It is a self number, because there is not a number n which added to its sum of digits gives 2093598144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67535409 + ... + 67535439.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 22093598144 is an apocalyptic number.

2093598144 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 2093598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2093598144 is an abundant number, since it is smaller than the sum of its proper divisors (5689774656).

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

2093598144 is a wasteful number, since it uses less digits than its factorization.

2093598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2093598144 is about 45755.8536583026. The cubic root of 2093598144 is about 1279.2765573406.

The spelling of 2093598144 in words is "two billion, ninety-three million, five hundred ninety-eight thousand, one hundred forty-four".