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20822989464 = 2334237971753
BaseRepresentation
bin10011011001001001…
…011001101010011000
31222202012010110120000
4103121021121222120
5320121141130324
613322124533000
71335004330044
oct233111315230
958665113500
1020822989464
118916042202
1240516b1160
131c6b049854
141017717024
1581d1349c9
hex4d9259a98

20822989464 has 160 divisors (see below), whose sum is σ = 60970583520. Its totient is φ = 6627101184.

The previous prime is 20822989423. The next prime is 20822989471. The reversal of 20822989464 is 46498922802.

20822989464 is a `hidden beast` number, since 2 + 0 + 82 + 29 + 89 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20822989464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11877612 + ... + 11879364.

It is an arithmetic number, because the mean of its divisors is an integer number (381066147).

Almost surely, 220822989464 is an apocalyptic number.

20822989464 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 20822989464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30485291760).

20822989464 is an abundant number, since it is smaller than the sum of its proper divisors (40147594056).

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

20822989464 is a wasteful number, since it uses less digits than its factorization.

20822989464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20822989464 in words is "twenty billion, eight hundred twenty-two million, nine hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 797 828 1242 1594 1656 1753 1863 2391 2484 3188 3506 3726 4782 4968 5259 6376 7012 7173 7452 9564 10518 14024 14346 14904 15777 18331 19128 21036 21519 28692 31554 36662 40319 42072 43038 47331 54993 57384 63108 64557 73324 80638 86076 94662 109986 120957 126216 129114 141993 146648 161276 164979 172152 189324 219972 241914 258228 283986 322552 329958 362871 378648 439944 483828 494937 516456 567972 659916 725742 967656 989874 1088613 1135944 1319832 1397141 1451484 1484811 1979748 2177226 2794282 2902968 2969622 3265839 3959496 4191423 4354452 5588564 5939244 6531678 8382846 8708904 11177128 11878488 12574269 13063356 16765692 25148538 26126712 32134243 33531384 37722807 50297076 64268486 75445614 96402729 100594152 113168421 128536972 150891228 192805458 226336842 257073944 289208187 301782456 385610916 452673684 578416374 771221832 867624561 905347368 1156832748 1735249122 2313665496 2602873683 3470498244 5205747366 6940996488 10411494732 20822989464