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20475876224 = 271923438513
BaseRepresentation
bin10011000100011101…
…010001001110000000
31221211222222021201002
4103010131101032000
5313413311014344
613223445031132
71323261035066
oct230435211600
957758867632
1020475876224
118758109961
123b753b54a8
131c141645bb
14dc359c036
157ec91b44e
hex4c4751380

20475876224 has 128 divisors (see below), whose sum is σ = 45852998400. Its totient is φ = 9060581376.

The previous prime is 20475876217. The next prime is 20475876229. The reversal of 20475876224 is 42267857402.

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 (20475876229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400992 + ... + 2409504.

It is an arithmetic number, because the mean of its divisors is an integer number (358226550).

Almost surely, 220475876224 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 20475876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926499200).

20475876224 is an abundant number, since it is smaller than the sum of its proper divisors (25377122176).

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

20475876224 is a wasteful number, since it uses less digits than its factorization.

20475876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 47.

The spelling of 20475876224 in words is "twenty billion, four hundred seventy-five million, eight hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 43 46 64 76 86 92 128 152 172 184 304 344 368 437 608 688 736 817 874 989 1216 1376 1472 1634 1748 1978 2432 2752 2944 3268 3496 3956 5504 6536 6992 7912 8513 13072 13984 15824 17026 18791 26144 27968 31648 34052 37582 52288 55936 63296 68104 75164 104576 126592 136208 150328 161747 195799 272416 300656 323494 366059 391598 544832 601312 646988 732118 783196 1089664 1202624 1293976 1464236 1566392 2405248 2587952 2928472 3132784 3720181 5175904 5856944 6265568 6955121 7440362 8419357 10351808 11713888 12531136 13910242 14880724 16838714 20703616 23427776 25062272 27820484 29761448 33677428 46855552 55640968 59522896 67354856 111281936 119045792 134709712 159967783 222563872 238091584 269419424 319935566 445127744 476183168 538838848 639871132 890255488 1077677696 1279742264 2559484528 5118969056 10237938112 20475876224