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16765002272 = 254724872
BaseRepresentation
bin11111001110100010…
…11010001000100000
31121021101022100122002
433213101122020200
5233313320033042
611411324103132
71132311111434
oct174721321040
947241270562
1016765002272
117123452387
1232ba694aa8
1317724043b5
14b507ca9c4
15681c58132
hex3e745a220

16765002272 has 54 divisors (see below), whose sum is σ = 33792686487. Its totient is φ = 8187303744.

The previous prime is 16765002269. The next prime is 16765002277. The reversal of 16765002272 is 27220056761.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 8382501136 + 8382501136 = 91556^2 + 91556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=91556.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16765002277) 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, 34424813 + ... + 34425299.

Almost surely, 216765002272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16765002272

16765002272 is an abundant number, since it is smaller than the sum of its proper divisors (17027684215).

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

16765002272 is an frugal number, since it uses more digits than its factorization.

16765002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 16765002272 in words is "sixteen billion, seven hundred sixty-five million, two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 487 752 974 1504 1948 2209 3896 4418 7792 8836 15584 17672 22889 35344 45778 70688 91556 183112 237169 366224 474338 732448 948676 1075783 1897352 2151566 3794704 4303132 7589408 8606264 11146943 17212528 22293886 34425056 44587772 89175544 178351088 356702176 523906321 1047812642 2095625284 4191250568 8382501136 16765002272