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5007736080 = 2432510336733
BaseRepresentation
bin1001010100111101…
…11111110100010000
3110220222221100110200
410222132333310100
540223440023310
62144525055200
7235045024434
oct45236776420
913828840420
105007736080
11213a811266
12b790b7500
1361a639b59
143571169c4
151e49839c0
hex12a7bfd10

5007736080 has 120 divisors (see below), whose sum is σ = 16836427608. Its totient is φ = 1333905408.

The previous prime is 5007736073. The next prime is 5007736093. The reversal of 5007736080 is 806377005.

5007736080 is a `hidden beast` number, since 500 + 7 + 73 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3440526336 + 1567209744 = 58656^2 + 39588^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740394 + ... + 747126.

Almost surely, 25007736080 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 5007736080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418213804).

5007736080 is an abundant number, since it is smaller than the sum of its proper divisors (11828691528).

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

5007736080 is a wasteful number, since it uses less digits than its factorization.

5007736080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5007736080 is about 70765.3593221994. The cubic root of 5007736080 is about 1710.8573929517.

The spelling of 5007736080 in words is "five billion, seven million, seven hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1033 2066 3099 4132 5165 6198 6733 8264 9297 10330 12396 13466 15495 16528 18594 20199 20660 24792 26932 30990 33665 37188 40398 41320 46485 49584 53864 60597 61980 67330 74376 80796 82640 92970 100995 107728 121194 123960 134660 148752 161592 185940 201990 242388 247920 269320 302985 323184 371880 403980 484776 538640 605970 743760 807960 969552 1211940 1615920 2423880 4847760 6955189 13910378 20865567 27820756 34775945 41731134 55641512 62596701 69551890 83462268 104327835 111283024 125193402 139103780 166924536 208655670 250386804 278207560 312983505 333849072 417311340 500773608 556415120 625967010 834622680 1001547216 1251934020 1669245360 2503868040 5007736080