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2890098144 = 2535371669
BaseRepresentation
bin1010110001000011…
…0110010111100000
321110102020012100000
42230100312113200
521404331120034
61154440500000
7131422300053
oct25420662740
97412205300
102890098144
11125342656a
12687a7a600
133709b4a5b
141d5b98a9a
1511dad5599
hexac4365e0

2890098144 has 72 divisors (see below), whose sum is σ = 8523136440. Its totient is φ = 963363456.

The previous prime is 2890098139. The next prime is 2890098181. The reversal of 2890098144 is 4418900982.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2890098144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178059 + ... + 193610.

It is an arithmetic number, because the mean of its divisors is an integer number (118376895).

Almost surely, 22890098144 is an apocalyptic number.

2890098144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2890098144 is an abundant number, since it is smaller than the sum of its proper divisors (5633038296).

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

2890098144 is an equidigital number, since it uses as much as digits as its factorization.

2890098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371694 (or 371674 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2890098144 is about 53759.6330344618. The cubic root of 2890098144 is about 1424.4182533969.

The spelling of 2890098144 in words is "two billion, eight hundred ninety million, ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 371669 743338 1115007 1486676 2230014 2973352 3345021 4460028 5946704 6690042 8920056 10035063 11893408 13380084 17840112 20070126 26760168 30105189 35680224 40140252 53520336 60210378 80280504 90315567 107040672 120420756 160561008 180631134 240841512 321122016 361262268 481683024 722524536 963366048 1445049072 2890098144