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20043525144 = 23319101563773
BaseRepresentation
bin10010101010101011…
…111110110000011000
31220201212102120112010
4102222223332300120
5312022120301034
613112522145520
71306461103236
oct225253766030
956655376463
1020043525144
118556058115
123a746522a0
131b75706b66
14d81db5956
157c49b73e9
hex4aaafec18

20043525144 has 128 divisors (see below), whose sum is σ = 53432006400. Its totient is φ = 6247641600.

The previous prime is 20043525143. The next prime is 20043525157. The reversal of 20043525144 is 44152534002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20043525143) 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, 25929142 + ... + 25929914.

It is an arithmetic number, because the mean of its divisors is an integer number (417437550).

Almost surely, 220043525144 is an apocalyptic number.

20043525144 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 20043525144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716003200).

20043525144 is an abundant number, since it is smaller than the sum of its proper divisors (33388481256).

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

20043525144 is a wasteful number, since it uses less digits than its factorization.

20043525144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20043525144 in words is "twenty billion, forty-three million, five hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 101 114 152 202 228 303 404 456 563 606 773 808 1126 1212 1546 1689 1919 2252 2319 2424 3092 3378 3838 4504 4638 5757 6184 6756 7676 9276 10697 11514 13512 14687 15352 18552 21394 23028 29374 32091 42788 44061 46056 56863 58748 64182 78073 85576 88122 113726 117496 128364 156146 170589 176244 227452 234219 256728 312292 341178 352488 435199 454904 468438 624584 682356 870398 936876 1080397 1305597 1364712 1483387 1740796 1873752 2160794 2611194 2966774 3241191 3481592 4321588 4450161 5222388 5933548 6482382 8268781 8643176 8900322 10444776 11867096 12964764 16537562 17800644 24806343 25929528 33075124 35601288 43955099 49612686 66150248 87910198 99225372 131865297 175820396 198450744 263730594 351640792 527461188 835146881 1054922376 1670293762 2505440643 3340587524 5010881286 6681175048 10021762572 20043525144