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42495958323 = 327131072392029
BaseRepresentation
bin100111100100111101…
…001101110100110011
311001200121122100122100
4213210331031310303
51144012431131243
631304455511443
73033042454140
oct474475156463
9131617570570
1042495958323
1117027951515
12829b988583
1340131c8190
1420b1c893c7
15118abb50d3
hex9e4f4dd33

42495958323 has 96 divisors (see below), whose sum is σ = 76611225600. Its totient is φ = 22102149888.

The previous prime is 42495958313. The next prime is 42495958327. The reversal of 42495958323 is 32385959424.

42495958323 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 59 + 583 + 2 + 3 = 666.

It is not a de Polignac number, because 42495958323 - 25 = 42495958291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42495958323.

It is not an unprimeable number, because it can be changed into a prime (42495958327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20943273 + ... + 20945301.

It is an arithmetic number, because the mean of its divisors is an integer number (798033600).

Almost surely, 242495958323 is an apocalyptic number.

42495958323 is a deficient number, since it is larger than the sum of its proper divisors (34115267277).

42495958323 is a wasteful number, since it uses less digits than its factorization.

42495958323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2398 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 42495958323 in words is "forty-two billion, four hundred ninety-five million, nine hundred fifty-eight thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 21 39 63 91 107 117 239 273 321 717 749 819 963 1391 1673 2029 2151 2247 3107 4173 5019 6087 6741 9321 9737 12519 14203 15057 18261 21749 25573 26377 27963 29211 42609 65247 76719 79131 87633 127827 179011 184639 195741 217103 230157 237393 332449 484931 537033 553917 651309 997347 1454793 1519721 1611099 1661751 1953927 2327143 2822339 2992041 3394517 4364379 4559163 6304103 6981429 8467017 10183551 13677489 18912309 19756373 20944287 25401051 30550653 44128721 51887617 56736927 59269119 132386163 155662851 177807357 363213319 397158489 466988553 674539021 1089639957 2023617063 3268919871 4721773147 6070851189 14165319441 42495958323