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5007372896656 = 2413223218712
BaseRepresentation
bin100100011011101111010…
…1011101100100110010000
3122201200220102112002020201
41020313132223230212100
51124020044430143111
614352204431144544
71024525240230514
oct110673653544620
918650812462221
105007372896656
111660684504989
1268a567075154
132a426870c100
14134502a50144
158a3beb486c1
hex48ddeaec990

5007372896656 has 135 divisors (see below), whose sum is σ = 10987975205697. Its totient is φ = 2209431269760.

The previous prime is 5007372896639. The next prime is 5007372896677. The reversal of 5007372896656 is 6566982737005.

The square root of 5007372896656 is 2237716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 740735635600 + 4266637261056 = 860660^2 + 2065584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2676307401 + ... + 2676309271.

Almost surely, 25007372896656 is an apocalyptic number.

5007372896656 is the 2237716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007372896656

5007372896656 is an abundant number, since it is smaller than the sum of its proper divisors (5980602309041).

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

5007372896656 is an equidigital number, since it uses as much as digits as its factorization.

5007372896656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

Multiplying 5007372896656 by its sum of digits (64), we get a square (320471865385984 = 179017282).

The spelling of 5007372896656 in words is "five trillion, seven billion, three hundred seventy-two million, eight hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 529 598 676 1058 1196 1352 1871 2116 2392 2704 3742 3887 4232 4784 6877 7484 7774 8464 13754 14968 15548 24323 27508 29936 31096 43033 48646 55016 62192 86066 89401 97292 110032 172132 178802 194584 316199 344264 357604 389168 559429 632398 688528 715208 989759 1118858 1264796 1430416 1979518 2237716 2529592 3500641 3959036 4475432 5059184 7001282 7272577 7918072 8950864 12866867 14002564 14545154 15836144 25733734 28005128 29090308 45508333 51467468 56010256 58180616 80514743 91016666 102934936 116361232 161029486 167269271 182033332 205869872 322058972 334538542 364066664 591608329 644117944 669077084 728133328 1046691659 1183216658 1288235888 1338154168 1851839089 2093383318 2366433316 2676308336 3703678178 4186766636 4732866632 7407356356 8373533272 9465733264 13606991567 14814712712 16747066544 24073908157 27213983134 29629425424 48147816314 54427966268 96295632628 108855932536 192591265256 217711865072 312960806041 385182530512 625921612082 1251843224164 2503686448328 5007372896656