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13858940176 = 2419215492
BaseRepresentation
bin11001110100000111…
…01010010100010000
31022202212001002212121
430322003222110100
5211340342041201
610211113104024
71000303022254
oct147203522420
938685032777
1013858940176
115972012974
1228293b8014
1313cb320323
14956878264
15561a6c9a1
hex33a0ea510

13858940176 has 45 divisors (see below), whose sum is σ = 28357632261. Its totient is φ = 6560523072.

The previous prime is 13858940159. The next prime is 13858940177. The reversal of 13858940176 is 67104985831.

The square root of 13858940176 is 117724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4688962576 + 9169977600 = 68476^2 + 95760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13858940177) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8946250 + ... + 8947798.

Almost surely, 213858940176 is an apocalyptic number.

13858940176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13858940176 is the 117724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13858940176

13858940176 is an abundant number, since it is smaller than the sum of its proper divisors (14498692085).

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

13858940176 is an frugal number, since it uses more digits than its factorization.

13858940176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 13858940176 in words is "thirteen billion, eight hundred fifty-eight million, nine hundred forty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1549 2888 3098 5776 6196 12392 24784 29431 58862 117724 235448 470896 559189 1118378 2236756 2399401 4473512 4798802 8947024 9597604 19195208 38390416 45588619 91177238 182354476 364708952 729417904 866183761 1732367522 3464735044 6929470088 13858940176