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20002909440 = 283541127051
BaseRepresentation
bin10010101000010001…
…000010110100000000
31220122001000002020210
4102220101002310000
5311431221100230
613104511434120
71305455632143
oct225021026400
956561002223
1020002909440
118535136a18
123a62b25940
131b6a185cb7
14d7a84205a
157c1142eb0
hex4a8442d00

20002909440 has 144 divisors (see below), whose sum is σ = 65442960576. Its totient is φ = 5203968000.

The previous prime is 20002909403. The next prime is 20002909559. The reversal of 20002909440 is 4490920002.

It is a super-2 number, since 2×200029094402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20002909398 and 20002909407.

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, 93915 + ... + 220965.

It is an arithmetic number, because the mean of its divisors is an integer number (454465004).

Almost surely, 220002909440 is an apocalyptic number.

20002909440 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 20002909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32721480288).

20002909440 is an abundant number, since it is smaller than the sum of its proper divisors (45440051136).

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

20002909440 is a wasteful number, since it uses less digits than its factorization.

20002909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127116 (or 127102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 20002909440 in words is "twenty billion, two million, nine hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 39360 52480 78720 127051 157440 254102 381153 508204 635255 762306 1016408 1270510 1524612 1905765 2032816 2541020 3049224 3811530 4065632 5082040 5209091 6098448 7623060 8131264 10164080 10418182 12196896 15246120 15627273 16262528 20328160 20836364 24393792 26045455 30492240 31254546 32525056 40656320 41672728 48787584 52090910 60984480 62509092 78136365 81312640 83345456 97575168 104181820 121968960 125018184 156272730 162625280 166690912 208363640 243937920 250036368 312545460 333381824 416727280 487875840 500072736 625090920 666763648 833454560 1000145472 1250181840 1333527296 1666909120 2000290944 2500363680 3333818240 4000581888 5000727360 6667636480 10001454720 20002909440