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4670765649 = 321121921092
BaseRepresentation
bin1000101100110011…
…00011101001010001
3110001111212110221100
410112121203221101
534031204000044
62051250415013
7223513565364
oct42631435121
913044773840
104670765649
111a87586400
12aa4291469
13595896474
1432447c0db
151c50c0869
hex116663a51

4670765649 has 81 divisors (see below), whose sum is σ = 7899059259. Its totient is φ = 2657175840.

The previous prime is 4670765597. The next prime is 4670765653. The reversal of 4670765649 is 9465670764.

The square root of 4670765649 is 68343.

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

4670765649 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 76 + 564 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3255501249 + 1415264400 = 57057^2 + 37620^2 .

It is not a de Polignac number, because 4670765649 - 29 = 4670765137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4670765595 and 4670765604.

It is not an unprimeable number, because it can be changed into a prime (4670763649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42851007 + ... + 42851115.

Almost surely, 24670765649 is an apocalyptic number.

4670765649 is the 68343-rd square number.

4670765649 is the 34172-nd centered octagonal number.

It is an amenable number.

4670765649 is a deficient number, since it is larger than the sum of its proper divisors (3228293610).

4670765649 is a wasteful number, since it uses less digits than its factorization.

4670765649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The cubic root of 4670765649 is about 1671.5884403704.

The spelling of 4670765649 in words is "four billion, six hundred seventy million, seven hundred sixty-five thousand, six hundred forty-nine".

Divisors: 1 3 9 11 19 33 57 99 109 121 171 209 327 361 363 627 981 1083 1089 1199 1881 2071 2299 3249 3597 3971 6213 6897 10791 11881 11913 13189 18639 20691 22781 35643 35739 39349 39567 43681 68343 106929 118047 118701 130691 131043 205029 225739 250591 354141 392073 393129 432839 677217 751773 1176219 1298517 1437601 2031651 2255319 2483129 3895551 4289041 4312803 4761229 7449387 12867123 12938409 14283687 22348161 27314419 38601369 42851061 47179451 81943257 141538353 245829771 424615059 518973961 1556921883 4670765649