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20369913408 = 2632132209257
BaseRepresentation
bin10010111110001001…
…000011011001000000
31221120121120211001100
4102332021003121000
5313204144212113
613205141534400
71320533256435
oct227611033100
957517524040
1020369913408
118703315489
123b45a14400
131bc8213a00
14db3497b8c
157e3489d73
hex4be243640

20369913408 has 126 divisors (see below), whose sum is σ = 63223747314. Its totient is φ = 6267635712.

The previous prime is 20369913373. The next prime is 20369913467. The reversal of 20369913408 is 80431996302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 339738624 + 20030174784 = 18432^2 + 141528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7285 + ... + 201972.

Almost surely, 220369913408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20369913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31611873657).

20369913408 is an abundant number, since it is smaller than the sum of its proper divisors (42853833906).

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

20369913408 is a wasteful number, since it uses less digits than its factorization.

20369913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209301 (or 209275 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20369913408 in words is "twenty billion, three hundred sixty-nine million, nine hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344 209257 418514 627771 837028 1255542 1674056 1883313 2511084 2720341 3348112 3766626 5022168 5440682 6696224 7533252 8161023 10044336 10881364 13392448 15066504 16322046 20088672 21762728 24483069 30133008 32644092 35364433 40177344 43525456 48966138 60266016 65288184 70728866 87050912 97932276 106093299 120532032 130576368 141457732 174101824 195864552 212186598 261152736 282915464 318279897 391729104 424373196 522305472 565830928 636559794 783458208 848746392 1131661856 1273119588 1566916416 1697492784 2263323712 2546239176 3394985568 5092478352 6789971136 10184956704 20369913408