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20233033009984 = 2617831311710341
BaseRepresentation
bin1001001100110110111101…
…01111101100101101000000
32122122020222212011222001101
410212123132233230231000
510122444222422304414
6111010532124144144
74155534263643304
oct446333657545500
978566885158041
1020233033009984
1164a0865729593
122329369998054
13b39c75169562
144dd3d9503d04
15251493348a74
hex1266debecb40

20233033009984 has 112 divisors (see below), whose sum is σ = 43352326011456. Its totient is φ = 9334898892800.

The previous prime is 20233033009907. The next prime is 20233033009991. The reversal of 20233033009984 is 48990033033202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10974654 + ... + 12684994.

It is an arithmetic number, because the mean of its divisors is an integer number (387074339388).

Almost surely, 220233033009984 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 20233033009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676163005728).

20233033009984 is an abundant number, since it is smaller than the sum of its proper divisors (23119293001472).

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

20233033009984 is a wasteful number, since it uses less digits than its factorization.

20233033009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710584 (or 1710574 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 20233033009984 in words is "twenty trillion, two hundred thirty-three billion, thirty-three million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 131 136 166 262 272 332 524 544 664 1048 1088 1328 1411 2096 2227 2656 2822 4192 4454 5312 5644 8384 8908 10873 11288 17816 21746 22576 35632 43492 45152 71264 86984 90304 142528 173968 184841 347936 369682 695872 739364 1478728 1710341 2957456 3420682 5914912 6841364 11829824 13682728 27365456 29075797 54730912 58151594 109461824 116303188 141958303 224054671 232606376 283916606 448109342 465212752 567833212 896218684 930425504 1135666424 1792437368 1860851008 2271332848 2413291151 3584874736 3808929407 4542665696 4826582302 7169749472 7617858814 9085331392 9653164604 14339498944 15235717628 18596537693 19306329208 30471435256 37193075386 38612658416 60942870512 74386150772 77225316832 121885741024 148772301544 154450633664 243771482048 297544603088 316141140781 595089206176 632282281562 1190178412352 1264564563124 2529129126248 5058258252496 10116516504992 20233033009984