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23383128432 = 2432693495189
BaseRepresentation
bin10101110001101111…
…100011100101110000
32020100121110222222210
4111301233203211300
5340342040102212
614424141332120
71455312212046
oct256157434560
966317428883
1023383128432
119a0a191534
124646b67040
132288574291
1411bb740396
1591cc8e53c
hex571be3970

23383128432 has 80 divisors (see below), whose sum is σ = 60816420000. Its totient is φ = 7741658112.

The previous prime is 23383128403. The next prime is 23383128451. The reversal of 23383128432 is 23482138332.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503694 + ... + 4508882.

It is an arithmetic number, because the mean of its divisors is an integer number (760205250).

Almost surely, 223383128432 is an apocalyptic number.

It is an amenable number.

23383128432 is an abundant number, since it is smaller than the sum of its proper divisors (37433291568).

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

23383128432 is a wasteful number, since it uses less digits than its factorization.

23383128432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5812 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 23383128432 in words is "twenty-three billion, three hundred eighty-three million, one hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 269 349 538 698 807 1047 1076 1396 1614 2094 2152 2792 3228 4188 4304 5189 5584 6456 8376 10378 12912 15567 16752 20756 31134 41512 62268 83024 93881 124536 187762 249072 281643 375524 563286 751048 1126572 1395841 1502096 1810961 2253144 2791682 3621922 4187523 4506288 5432883 5583364 7243844 8375046 10865766 11166728 14487688 16750092 21731532 22333456 28975376 33500184 43463064 67000368 86926128 487148509 974297018 1461445527 1948594036 2922891054 3897188072 5845782108 7794376144 11691564216 23383128432