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20975156736 = 293371492477
BaseRepresentation
bin10011100010001101…
…110111111000000000
32000010210110100210220
4103202031313320000
5320424120003421
613345202223040
71341532614312
oct234215677000
960123410726
1020975156736
118993a24786
124094654a80
131c93727061
14102da077b2
1582b6913c6
hex4e2377e00

20975156736 has 160 divisors (see below), whose sum is σ = 57797863200. Its totient is φ = 6754369536.

The previous prime is 20975156731. The next prime is 20975156789. The reversal of 20975156736 is 63765157902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20975156731) 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, 8466730 + ... + 8469206.

It is an arithmetic number, because the mean of its divisors is an integer number (361236645).

Almost surely, 220975156736 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 20975156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28898931600).

20975156736 is an abundant number, since it is smaller than the sum of its proper divisors (36822706464).

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

20975156736 is a wasteful number, since it uses less digits than its factorization.

20975156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 20975156736 in words is "twenty billion, nine hundred seventy-five million, one hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 149 192 222 256 296 298 384 444 447 512 592 596 768 888 894 1184 1192 1536 1776 1788 2368 2384 2477 3552 3576 4736 4768 4954 5513 7104 7152 7431 9472 9536 9908 11026 14208 14304 14862 16539 18944 19072 19816 22052 28416 28608 29724 33078 38144 39632 44104 56832 57216 59448 66156 76288 79264 88208 91649 114432 118896 132312 158528 176416 183298 228864 237792 264624 274947 317056 352832 366596 369073 475584 529248 549894 634112 705664 733192 738146 951168 1058496 1099788 1107219 1268224 1411328 1466384 1476292 1902336 2116992 2199576 2214438 2822656 2932768 2952584 3804672 4233984 4399152 4428876 5865536 5905168 8467968 8798304 8857752 11731072 11810336 13655701 17596608 17715504 23462144 23620672 27311402 35193216 35431008 40967103 46924288 47241344 54622804 70386432 70862016 81934206 94482688 109245608 140772864 141724032 163868412 188965376 218491216 283448064 327736824 436982432 566896128 655473648 873964864 1310947296 1747929728 2621894592 3495859456 5243789184 6991718912 10487578368 20975156736