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20247676288 = 277311136451
BaseRepresentation
bin10010110110110110…
…110000010110000000
31221021002120112020121
4102312312300112000
5312431401120123
613145053550024
71314520260130
oct226666602600
957232515217
1020247676288
118650315974
123b10aa5314
131ba8ab5758
14da1158ac0
157d789175d
hex4b6db0580

20247676288 has 128 divisors (see below), whose sum is σ = 48015267840. Its totient is φ = 8322048000.

The previous prime is 20247676279. The next prime is 20247676291. The reversal of 20247676288 is 88267674202.

It is a happy number.

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

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, 3135463 + ... + 3141913.

It is an arithmetic number, because the mean of its divisors is an integer number (375119280).

Almost surely, 220247676288 is an apocalyptic number.

20247676288 is a gapful number since it is divisible by the number (28) 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 20247676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007633920).

20247676288 is an abundant number, since it is smaller than the sum of its proper divisors (27767591552).

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

20247676288 is a wasteful number, since it uses less digits than its factorization.

20247676288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 20247676288 in words is "twenty billion, two hundred forty-seven million, six hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 113 124 128 217 224 226 248 434 448 452 496 791 868 896 904 992 1582 1736 1808 1984 3164 3472 3503 3616 3968 6328 6451 6944 7006 7232 12656 12902 13888 14012 14464 24521 25312 25804 27776 28024 45157 49042 50624 51608 56048 90314 98084 101248 103216 112096 180628 196168 199981 206432 224192 361256 392336 399962 412864 448384 722512 728963 784672 799924 825728 1399867 1445024 1457926 1569344 1599848 2799734 2890048 2915852 3138688 3199696 5102741 5599468 5780096 5831704 6399392 10205482 11198936 11663408 12798784 20410964 22397872 22597853 23326816 25597568 40821928 44795744 45195706 46653632 81643856 89591488 90391412 93307264 158184971 163287712 179182976 180782824 316369942 326575424 361565648 632739884 653150848 723131296 1265479768 1446262592 2530959536 2892525184 5061919072 10123838144 20247676288