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20646426480 = 2435738913241
BaseRepresentation
bin10011001110100111…
…110111011101110000
31222021212220010200020
4103032213313131300
5314240441121410
613252420323440
71330431505131
oct231647673560
958255803606
1020646426480
118835407889
124002543580
131c405aa204
14ddc0b5c88
1580c8a9a70
hex4ce9f7770

20646426480 has 160 divisors (see below), whose sum is σ = 65614639680. Its totient is φ = 5368872960.

The previous prime is 20646426439. The next prime is 20646426481. The reversal of 20646426480 is 8462464602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20646426481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552660 + ... + 1565900.

It is an arithmetic number, because the mean of its divisors is an integer number (410091498).

Almost surely, 220646426480 is an apocalyptic number.

20646426480 is a gapful number since it is divisible by the number (20) 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 20646426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32807319840).

20646426480 is an abundant number, since it is smaller than the sum of its proper divisors (44968213200).

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

20646426480 is a wasteful number, since it uses less digits than its factorization.

20646426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 20646426480 in words is "twenty billion, six hundred forty-six million, four hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 89 120 146 178 219 240 267 292 356 365 438 445 534 584 712 730 876 890 1068 1095 1168 1335 1424 1460 1752 1780 2136 2190 2670 2920 3504 3560 4272 4380 5340 5840 6497 7120 8760 10680 12994 13241 17520 19491 21360 25988 26482 32485 38982 39723 51976 52964 64970 66205 77964 79446 97455 103952 105928 129940 132410 155928 158892 194910 198615 211856 259880 264820 311856 317784 389820 397230 519760 529640 635568 779640 794460 966593 1059280 1178449 1559280 1588920 1933186 2356898 2899779 3177840 3535347 3866372 4713796 4832965 5799558 5892245 7070694 7732744 9427592 9665930 11599116 11784490 14141388 14498895 15465488 17676735 18855184 19331860 23198232 23568980 28282776 28997790 35353470 38663720 46396464 47137960 56565552 57995580 70706940 77327440 86026777 94275920 115991160 141413880 172053554 231982320 258080331 282827760 344107108 430133885 516160662 688214216 860267770 1032321324 1290401655 1376428432 1720535540 2064642648 2580803310 3441071080 4129285296 5161606620 6882142160 10323213240 20646426480