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42760966620969 = 3221797292
BaseRepresentation
bin10011011100100000100000…
…01110011100011100101001
312121101220112021201111110100
421232100100032130130221
521101043424423332334
6230540041124540013
712002243421103002
oct1156202016343451
9177356467644410
1042760966620969
1112696907977213
124967441251609
131ab245a0770cc
14a7b8db2621a9
154e249e2e0c99
hex26e41039c729

42760966620969 has 9 divisors (see below), whose sum is σ = 61765869011223. Its totient is φ = 28507298002272.

The previous prime is 42760966620943. The next prime is 42760966620971. The reversal of 42760966620969 is 96902666906724.

It is a happy number.

The square root of 42760966620969 is 6539187.

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., 41979864180969 + 781102440000 = 6479187^2 + 883800^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 42760966620969 - 217 = 42760966489897 is a prime.

It is a super-2 number, since 2×427609666209692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42760966620897 and 42760966620906.

It is not an unprimeable number, because it can be changed into a prime (42760966620919) 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, 18527697 + ... + 20707425.

Almost surely, 242760966620969 is an apocalyptic number.

42760966620969 is the 6539187-th square number.

42760966620969 is the 3269594-th centered octagonal number.

It is an amenable number.

42760966620969 is a deficient number, since it is larger than the sum of its proper divisors (19004902390254).

42760966620969 is an frugal number, since it uses more digits than its factorization.

42760966620969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359464 (or 2179732 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 42760966620969 in words is "forty-two trillion, seven hundred sixty billion, nine hundred sixty-six million, six hundred twenty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 2179729 6539187 19617561 4751218513441 14253655540323 42760966620969