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2111494401 = 32174532
BaseRepresentation
bin111110111011010…
…1101100100000001
312110011011000210100
41331312231210001
513311020310101
6545304353013
7103216256232
oct17566554401
95404130710
102111494401
11993979aa5
124ab175769
132785b3993
141605dd089
15c5587e86
hex7ddad901

2111494401 has 45 divisors (see below), whose sum is σ = 3302851279. Its totient is φ = 1299861888.

The previous prime is 2111494391. The next prime is 2111494409. The reversal of 2111494401 is 1044941112.

The square root of 2111494401 is 45951.

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

2111494401 is a `hidden beast` number, since 211 + 1 + 4 + 9 + 440 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2480625 + 2109013776 = 1575^2 + 45924^2 .

It is not a de Polignac number, because 2111494401 - 215 = 2111461633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111494409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39839491 + ... + 39839543.

Almost surely, 22111494401 is an apocalyptic number.

2111494401 is the 45951-st square number.

2111494401 is the 22976-th centered octagonal number.

It is an amenable number.

2111494401 is a deficient number, since it is larger than the sum of its proper divisors (1191356878).

2111494401 is an frugal number, since it uses more digits than its factorization.

2111494401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 2111494401 is about 1282.9113421260.

The spelling of 2111494401 in words is "two billion, one hundred eleven million, four hundred ninety-four thousand, four hundred one".

Divisors: 1 3 9 17 51 53 153 159 289 477 867 901 2601 2703 2809 4913 8109 8427 14739 15317 25281 44217 45951 47753 83521 137853 143259 250563 260389 429777 751689 781167 811801 2343501 2435403 4426613 7306209 13279839 13800617 39839517 41401851 124205553 234610489 703831467 2111494401