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23379327409 = 107214292
BaseRepresentation
bin10101110001100001…
…000011100110110001
32020100100022212222011
4111301201003212301
5340340101434114
614423524042521
71455235001254
oct256141034661
966310285864
1023379327409
119a08025799
124645833441
132287843159
1411bb03109b
1591c78d1c4
hex5718439b1

23379327409 has 9 divisors (see below), whose sum is σ = 23616394347. Its totient is φ = 23144621304.

The previous prime is 23379327287. The next prime is 23379327437. The reversal of 23379327409 is 90472397332.

The square root of 23379327409 is 152903.

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., 1575851809 + 21803475600 = 39697^2 + 147660^2 .

It is not a de Polignac number, because 23379327409 - 29 = 23379326897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23379327449) 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, 16359907 + ... + 16361335.

Almost surely, 223379327409 is an apocalyptic number.

23379327409 is the 152903-rd square number.

23379327409 is the 76452-nd centered octagonal number.

It is an amenable number.

23379327409 is a deficient number, since it is larger than the sum of its proper divisors (237066938).

23379327409 is an frugal number, since it uses more digits than its factorization.

23379327409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 49.

Multiplying 23379327409 by its sum of digits (49), we get a square (1145587043041 = 10703212).

The spelling of 23379327409 in words is "twenty-three billion, three hundred seventy-nine million, three hundred twenty-seven thousand, four hundred nine".

Divisors: 1 107 1429 11449 152903 2042041 16360621 218498387 23379327409