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23377186816 = 21223892
BaseRepresentation
bin10101110001011000…
…111001000000000000
32020100012022010121221
4111301120321000000
5340334024434231
614423410124424
71455210544414
oct256130710000
966305263557
1023377186816
119a068a3505
124644b80714
132287273a29
1411baa34d44
1591c4b8d11
hex571639000

23377186816 has 39 divisors (see below), whose sum is σ = 46768242801. Its totient is φ = 11683700736.

The previous prime is 23377186813. The next prime is 23377186817. The reversal of 23377186816 is 61868177332.

The square root of 23377186816 is 152896.

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., 5313826816 + 18063360000 = 72896^2 + 134400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23377186813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9784150 + ... + 9786538.

Almost surely, 223377186816 is an apocalyptic number.

23377186816 is the 152896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23377186816

23377186816 is an abundant number, since it is smaller than the sum of its proper divisors (23391055985).

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

23377186816 is an frugal number, since it uses more digits than its factorization.

23377186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 2391 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The spelling of 23377186816 in words is "twenty-three billion, three hundred seventy-seven million, one hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2389 4096 4778 9556 19112 38224 76448 152896 305792 611584 1223168 2446336 4892672 5707321 9785344 11414642 22829284 45658568 91317136 182634272 365268544 730537088 1461074176 2922148352 5844296704 11688593408 23377186816