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5023263744 = 210324711597
BaseRepresentation
bin1001010110110100…
…01110110000000000
3110222002011020102100
410223122032300000
540241423414434
62150241550400
7235324015542
oct45332166000
913862136370
105023263744
112148557444
12b82345400
13620915715
143591d9692
151e5eee699
hex12b68ec00

5023263744 has 132 divisors (see below), whose sum is σ = 14814450144. Its totient is φ = 1638653952.

The previous prime is 5023263737. The next prime is 5023263761. The reversal of 5023263744 is 4473623205.

5023263744 is a `hidden beast` number, since 50 + 232 + 6 + 374 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5023263699 and 5023263708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 427354 + ... + 438950.

Almost surely, 25023263744 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 5023263744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407225072).

5023263744 is an abundant number, since it is smaller than the sum of its proper divisors (9791186400).

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

5023263744 is a wasteful number, since it uses less digits than its factorization.

5023263744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5023263744 is about 70874.9867301575. The cubic root of 5023263744 is about 1712.6238737112.

Adding to 5023263744 its reverse (4473623205), we get a palindrome (9496886949).

The spelling of 5023263744 in words is "five billion, twenty-three million, two hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1024 1128 1152 1504 1536 1692 2256 2304 3008 3072 3384 4512 4608 6016 6768 9024 9216 11597 12032 13536 18048 23194 24064 27072 34791 36096 46388 48128 54144 69582 72192 92776 104373 108288 139164 144384 185552 208746 216576 278328 371104 417492 433152 545059 556656 742208 834984 1090118 1113312 1484416 1635177 1669968 2180236 2226624 2968832 3270354 3339936 4360472 4453248 4905531 5937664 6540708 6679872 8720944 8906496 9811062 11875328 13081416 13359744 17441888 17812992 19622124 26162832 26719488 34883776 35625984 39244248 52325664 53438976 69767552 78488496 104651328 106877952 139535104 156976992 209302656 279070208 313953984 418605312 558140416 627907968 837210624 1255815936 1674421248 2511631872 5023263744