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20334145344 = 2631931117923
BaseRepresentation
bin10010111100000000…
…100110111101000000
31221111010021121111020
4102330000212331000
5313121020122334
613201423145440
71316620245402
oct227400467500
957433247436
1020334145344
1186951053a7
123b35a45280
131bc099c486
14dac826b72
157e0271e49
hex4bc026f40

20334145344 has 112 divisors (see below), whose sum is σ = 56817646080. Its totient is φ = 6400304640.

The previous prime is 20334145339. The next prime is 20334145411. The reversal of 20334145344 is 44354143302.

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, 1125567 + ... + 1143489.

Almost surely, 220334145344 is an apocalyptic number.

20334145344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28408823040).

20334145344 is an abundant number, since it is smaller than the sum of its proper divisors (36483500736).

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

20334145344 is a wasteful number, since it uses less digits than its factorization.

20334145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18268 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 20334145344 its reverse (44354143302), we get a palindrome (64688288646).

The spelling of 20334145344 in words is "twenty billion, three hundred thirty-four million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 311 456 608 622 912 933 1216 1244 1824 1866 2488 3648 3732 4976 5909 7464 9952 11818 14928 17727 17923 19904 23636 29856 35454 35846 47272 53769 59712 70908 71692 94544 107538 141816 143384 189088 215076 283632 286768 340537 378176 430152 567264 573536 681074 860304 1021611 1134528 1147072 1362148 1720608 2043222 2724296 3441216 4086444 5448592 5574053 8172888 10897184 11148106 16345776 16722159 21794368 22296212 32691552 33444318 44592424 65383104 66888636 89184848 105907007 133777272 178369696 211814014 267554544 317721021 356739392 423628028 535109088 635442042 847256056 1070218176 1270884084 1694512112 2541768168 3389024224 5083536336 6778048448 10167072672 20334145344