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5321088768 = 283103137491
BaseRepresentation
bin1001111010010100…
…10101111100000000
3111201211120022112210
410331022111330000
541344144320033
62240001222120
7245601336222
oct47512257400
914654508483
105321088768
112290685826
121046031940
1366a531548
143869a4412
1521222dd63
hex13d295f00

5321088768 has 144 divisors (see below), whose sum is σ = 14433060096. Its totient is φ = 1740103680.

The previous prime is 5321088727. The next prime is 5321088781. The reversal of 5321088768 is 8678801235.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10837003 + ... + 10837493.

It is an arithmetic number, because the mean of its divisors is an integer number (100229584).

Almost surely, 25321088768 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 5321088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216530048).

5321088768 is an abundant number, since it is smaller than the sum of its proper divisors (9111971328).

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

5321088768 is a wasteful number, since it uses less digits than its factorization.

5321088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 5321088768 is about 72945.7933536952. The cubic root of 5321088768 is about 1745.8228282860.

The spelling of 5321088768 in words is "five billion, three hundred twenty-one million, eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 137 192 206 256 274 309 384 411 412 491 548 618 768 822 824 982 1096 1236 1473 1644 1648 1964 2192 2472 2946 3288 3296 3928 4384 4944 5892 6576 6592 7856 8768 9888 11784 13152 13184 14111 15712 17536 19776 23568 26304 26368 28222 31424 35072 39552 42333 47136 50573 52608 56444 62848 67267 79104 84666 94272 101146 105216 112888 125696 134534 151719 169332 188544 201801 202292 225776 269068 303438 338664 377088 403602 404584 451552 538136 606876 677328 807204 809168 903104 1076272 1213752 1354656 1614408 1618336 1806208 2152544 2427504 2709312 3228816 3236672 3612416 4305088 4855008 5418624 6457632 6473344 6928501 8610176 9710016 10837248 12915264 12946688 13857002 17220352 19420032 20785503 25830528 27714004 38840064 41571006 51661056 55428008 83142012 110856016 166284024 221712032 332568048 443424064 665136096 886848128 1330272192 1773696256 2660544384 5321088768