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5036644440 = 2332560123279
BaseRepresentation
bin1001011000011010…
…10001100001011000
3111000000100001021200
410230031101201120
540303340110230
62151440434200
7235545525402
oct45415214130
914000301250
105036644440
112155066573
12b86918960
1362361bca9
1435acbdb72
151e7294160
hex12c351858

5036644440 has 96 divisors (see below), whose sum is σ = 16397035200. Its totient is φ = 1340812800.

The previous prime is 5036644439. The next prime is 5036644511. The reversal of 5036644440 is 444466305.

5036644440 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 644 + 4 + 4 + 0 = 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 = 5036644395 and 5036644404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 204721 + ... + 227999.

It is an arithmetic number, because the mean of its divisors is an integer number (170802450).

Almost surely, 25036644440 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 5036644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198517600).

5036644440 is an abundant number, since it is smaller than the sum of its proper divisors (11360390760).

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

5036644440 is a wasteful number, since it uses less digits than its factorization.

5036644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23897 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5036644440 is about 70969.3204138239. The cubic root of 5036644440 is about 1714.1431901748.

The spelling of 5036644440 in words is "five billion, thirty-six million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 601 1202 1803 2404 3005 3606 4808 5409 6010 7212 9015 10818 12020 14424 18030 21636 23279 24040 27045 36060 43272 46558 54090 69837 72120 93116 108180 116395 139674 186232 209511 216360 232790 279348 349185 419022 465580 558696 698370 838044 931160 1047555 1396740 1676088 2095110 2793480 4190220 8380440 13990679 27981358 41972037 55962716 69953395 83944074 111925432 125916111 139906790 167888148 209860185 251832222 279813580 335776296 419720370 503664444 559627160 629580555 839440740 1007328888 1259161110 1678881480 2518322220 5036644440