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9979860149 = 7172373199251
BaseRepresentation
bin10010100101101100…
…01001010010110101
3221202111212102102222
421102312021102311
5130414321011044
64330143012125
7502211261120
oct112266112265
927674772388
109979860149
114261409706
121b2629a045
13c307884bc
146a95dd3b7
153d62308ee
hex252d894b5

9979860149 has 64 divisors (see below), whose sum is σ = 12889497600. Its totient is φ = 7527168000.

The previous prime is 9979860133. The next prime is 9979860167. The reversal of 9979860149 is 9410689799.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9979860149 - 24 = 9979860133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9979860091 and 9979860100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979860049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39760274 + ... + 39760524.

It is an arithmetic number, because the mean of its divisors is an integer number (201398400).

Almost surely, 29979860149 is an apocalyptic number.

It is an amenable number.

9979860149 is a deficient number, since it is larger than the sum of its proper divisors (2909637451).

9979860149 is a wasteful number, since it uses less digits than its factorization.

9979860149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 8817984, while the sum is 62.

The square root of 9979860149 is about 99899.2499921796. The cubic root of 9979860149 is about 2152.9873848580.

The spelling of 9979860149 in words is "nine billion, nine hundred seventy-nine million, eight hundred sixty thousand, one hundred forty-nine".

Divisors: 1 7 17 23 73 119 161 199 251 391 511 1241 1393 1679 1757 2737 3383 4267 4577 5773 8687 11753 14527 18323 23681 28543 29869 32039 40411 49949 77809 98141 101689 128261 199801 246959 311491 334121 349643 421429 544663 686987 849133 1148827 1728713 2180437 2338847 2950003 3646277 5680057 5943931 7164293 8041789 19530059 25523939 39760399 50150051 61986709 83864371 136710413 433906963 587050597 1425694307 9979860149