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20011407744 = 273177014373
BaseRepresentation
bin10010101000110001…
…011101100110000000
31220122121222211201210
4102220301131212000
5311440410021434
613105413530120
71305621105426
oct225061354600
956577884653
1020011407744
118539a10909
123a65943940
131b6bb70193
14d7ba15116
157c1c70ee9
hex4a8c5d980

20011407744 has 128 divisors (see below), whose sum is σ = 56375261280. Its totient is φ = 6267699200.

The previous prime is 20011407739. The next prime is 20011407749. The reversal of 20011407744 is 44770411002.

It is an interprime number because it is at equal distance from previous prime (20011407739) and next prime (20011407749).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011407749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4573942 + ... + 4578314.

Almost surely, 220011407744 is an apocalyptic number.

20011407744 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 20011407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28187630640).

20011407744 is an abundant number, since it is smaller than the sum of its proper divisors (36363853536).

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

20011407744 is a wasteful number, since it uses less digits than its factorization.

20011407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

Adding to 20011407744 its reverse (44770411002), we get a palindrome (64781818746).

The spelling of 20011407744 in words is "twenty billion, eleven million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 701 816 1088 1402 1632 2103 2176 2804 3264 4206 4373 5608 6528 8412 8746 11216 11917 13119 16824 17492 22432 23834 26238 33648 34984 35751 44864 47668 52476 67296 69968 71502 74341 89728 95336 104952 134592 139936 143004 148682 190672 209904 223023 269184 279872 286008 297364 381344 419808 446046 559744 572016 594728 762688 839616 892092 1144032 1189456 1525376 1679232 1784184 2288064 2378912 3065473 3568368 4576128 4757824 6130946 7136736 9196419 9515648 12261892 14273472 18392838 24523784 28546944 36785676 49047568 52113041 73571352 98095136 104226082 147142704 156339123 196190272 208452164 294285408 312678246 392380544 416904328 588570816 625356492 833808656 1177141632 1250712984 1667617312 2501425968 3335234624 5002851936 6670469248 10005703872 20011407744