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104607611761 = 281211512
BaseRepresentation
bin110000101101100011…
…0010111101101110001
3101000000021200021100011
41201123012113231301
53203214022034021
6120020040054521
710362163012642
oct1413306275561
9330007607304
10104607611761
11404002a7004
1218334a64441
139b31293533
1450c4d7d6c9
152ac39d2de1
hex185b197b71

104607611761 has 9 divisors (see below), whose sum is σ = 105072493579. Its totient is φ = 104144782000.

The previous prime is 104607611747. The next prime is 104607611789. The reversal of 104607611761 is 167116706401.

It is a happy number.

The square root of 104607611761 is 323431.

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., 70692706161 + 33914905600 = 265881^2 + 184160^2 .

It is not a de Polignac number, because 104607611761 - 25 = 104607611729 is a prime.

It is a super-2 number, since 2×1046076117612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104607621761) 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, 90883536 + ... + 90884686.

Almost surely, 2104607611761 is an apocalyptic number.

104607611761 is the 323431-st square number.

104607611761 is the 161716-th centered octagonal number.

It is an amenable number.

104607611761 is a deficient number, since it is larger than the sum of its proper divisors (464881818).

104607611761 is an frugal number, since it uses more digits than its factorization.

104607611761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 104607611761 in words is "one hundred four billion, six hundred seven million, six hundred eleven thousand, seven hundred sixty-one".

Divisors: 1 281 1151 78961 323431 1324801 90884111 372269081 104607611761