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116948601 = 32711374561
BaseRepresentation
bin1101111100001…
…11111001111001
322011001121022200
412332013321321
5214414323401
615334340413
72620022010
oct676077171
9264047280
10116948601
1160018240
12331ba709
131b2c9073
1411763a77
15a401686
hex6f87e79

116948601 has 48 divisors (see below), whose sum is σ = 216348288. Its totient is φ = 59097600.

The previous prime is 116948521. The next prime is 116948609. The reversal of 116948601 is 106849611.

It is a happy number.

116948601 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 48 + 601 = 666.

It is not a de Polignac number, because 116948601 - 222 = 112754297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116948609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23361 + ... + 27921.

It is an arithmetic number, because the mean of its divisors is an integer number (4507256).

Almost surely, 2116948601 is an apocalyptic number.

116948601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116948601 is a deficient number, since it is larger than the sum of its proper divisors (99399687).

116948601 is a wasteful number, since it uses less digits than its factorization.

116948601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116948601 is about 10814.2776457792. The cubic root of 116948601 is about 489.0256927547.

It can be divided in two parts, 1169 and 48601, that added together give a triangular number (49770 = T315).

The spelling of 116948601 in words is "one hundred sixteen million, nine hundred forty-eight thousand, six hundred one".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2849 3663 4561 8547 13683 25641 31927 41049 50171 95781 150513 168757 287343 351197 451539 506271 1053591 1181299 1518813 1856327 3160773 3543897 5568981 10631691 12994289 16706943 38982867 116948601