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99014845262736 = 243131312476748907
BaseRepresentation
bin10110100000110110110000…
…101011011110101110010000
3110222120201121210212120212110
4112200312300223132232100
5100434224400341401421
6550330443021425320
726566405112062464
oct2640666053365620
9428521553776773
1099014845262736
1129604a61925967
12b1318a740b240
1343330a1629250
141a644b62304a4
15b6a90b4a4a76
hex5a0db0adeb90

99014845262736 has 160 divisors (see below), whose sum is σ = 277584041484288. Its totient is φ = 30231701660160.

The previous prime is 99014845262639. The next prime is 99014845262737. The reversal of 99014845262736 is 63726254841099.

It is not an unprimeable number, because it can be changed into a prime (99014845262737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024529195 + ... + 2024578101.

It is a 1-persistent number, because it is pandigital, but 2⋅99014845262736 = 198029690525472 is not.

Almost surely, 299014845262736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99014845262736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138792020742144).

99014845262736 is an abundant number, since it is smaller than the sum of its proper divisors (178569196221552).

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

99014845262736 is a wasteful number, since it uses less digits than its factorization.

99014845262736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73829 (or 73823 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 99014845262736 in words is "ninety-nine trillion, fourteen billion, eight hundred forty-five million, two hundred sixty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 524 624 786 1048 1572 1703 2096 3144 3406 5109 6288 6812 10218 13624 20436 24767 27248 40872 48907 49534 74301 81744 97814 99068 146721 148602 195628 198136 293442 297204 321971 391256 396272 586884 594408 635791 643942 782512 965913 1173768 1188816 1271582 1287884 1907373 1931826 2347536 2543164 2575768 3244477 3814746 3863652 5086328 5151536 6406817 6488954 7629492 7727304 9733431 10172656 12813634 12977908 15258984 15454608 19220451 19466862 25627268 25955816 30517968 38440902 38933724 42178201 51254536 51911632 76881804 77867448 83288621 84356402 102509072 126534603 153763608 155734896 166577242 168712804 249865863 253069206 307527216 333154484 337425608 499731726 506138412 666308968 674851216 999463452 1012276824 1211279669 1332617936 1998926904 2024553648 2422559338 3633839007 3997853808 4845118676 7267678014 9690237352 14535356028 15746635697 19380474704 29070712056 31493271394 47239907091 58141424112 62986542788 94479814182 125973085576 158677636639 188959628364 251946171152 317355273278 377919256728 476032909917 634710546556 755838513456 952065819834 1269421093112 1904131639668 2062809276307 2538842186224 3808263279336 4125618552614 6188427828921 7616526558672 8251237105228 12376855657842 16502474210456 24753711315684 33004948420912 49507422631368 99014845262736