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90311411309 = 7411181266447
BaseRepresentation
bin101010000011011111…
…0101100011001101101
322122002221212001010112
41110012332230121231
52434424210130214
6105253302545405
76345000221150
oct1240676543155
9278087761115
1090311411309
113533448a009
1215605138265
1386934b7122
14452a401c97
152538891a3e
hex1506fac66d

90311411309 has 16 divisors (see below), whose sum is σ = 105820356096. Its totient is φ = 75457507200.

The previous prime is 90311411293. The next prime is 90311411321.

90311411309 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 90311411309 - 24 = 90311411293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90311411009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205724 + ... + 472170.

It is an arithmetic number, because the mean of its divisors is an integer number (6613772256).

Almost surely, 290311411309 is an apocalyptic number.

It is an amenable number.

90311411309 is a deficient number, since it is larger than the sum of its proper divisors (15508944787).

90311411309 is a wasteful number, since it uses less digits than its factorization.

90311411309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267676.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 90311411309 in words is "ninety billion, three hundred eleven million, four hundred eleven thousand, three hundred nine".

Divisors: 1 7 41 287 1181 8267 48421 266447 338947 1865129 10924327 76470289 314673907 2202717349 12901630187 90311411309