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989705161494 = 233742119133251
BaseRepresentation
bin11100110011011110000…
…01100100101100010110
310111121121020212102222000
432121233001210230112
5112203404010131434
62034355252220130
7131334550032420
oct16315701445426
93447536772860
10989705161494
113518058423a5
1213b98a30a646
1372437499a1a
1435c8b095810
151ab27a68b99
hexe66f064b16

989705161494 has 128 divisors (see below), whose sum is σ = 2521599759360. Its totient is φ = 281867040000.

The previous prime is 989705161493. The next prime is 989705161553. The reversal of 989705161494 is 494161507989.

989705161494 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 0 + 5 + 1 + 614 + 9 + 4 = 666.

989705161494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989705161493) 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, 304429369 + ... + 304432619.

It is an arithmetic number, because the mean of its divisors is an integer number (19699998120).

Almost surely, 2989705161494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989705161494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260799879680).

989705161494 is an abundant number, since it is smaller than the sum of its proper divisors (1531894597866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

989705161494 is a wasteful number, since it uses less digits than its factorization.

989705161494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 989705161494 in words is "nine hundred eighty-nine billion, seven hundred five million, one hundred sixty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 421 842 1263 1913 2526 2947 3251 3789 3826 5739 5894 6502 7578 8841 9753 11367 11478 13391 17217 17682 19506 22734 22757 26523 26782 29259 34434 40173 45514 51651 53046 58518 68271 79569 80346 87777 103302 120519 136542 159138 175554 204813 241038 361557 409626 614439 723114 805373 1228878 1368671 1610746 2416119 2737342 4106013 4832238 5637611 6219163 7248357 8212026 9580697 11275222 12318039 12438326 14496714 16912833 18657489 19161394 21745071 24636078 28742091 33825666 36954117 37314978 43490142 43534141 50738499 55972467 57484182 73908234 86226273 87068282 101476998 111944934 130602423 152215497 167917401 172452546 258678819 261204846 304430994 335834802 391807269 517357638 783614538 1175421807 2350843614 2618267623 5236535246 7854802869 15709605738 18327873361 23564408607 36655746722 47128817214 54983620083 70693225821 109967240166 141386451642 164950860249 329901720498 494852580747 989705161494