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5016600072 = 23321113945569
BaseRepresentation
bin1001010110000001…
…10011111000001000
3110221121121200120200
410223000303320020
540233222200242
62145443052200
7235213253121
oct45300637010
913847550520
105016600072
112144815980
12b80071060
1361c421613
14358383048
151e563504c
hex12b033e08

5016600072 has 96 divisors (see below), whose sum is σ = 14928732000. Its totient is φ = 1509212160.

The previous prime is 5016600053. The next prime is 5016600073. The reversal of 5016600072 is 2700066105.

5016600072 is a `hidden beast` number, since 50 + 1 + 6 + 600 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5016600073) by changing a digit.

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, 87304 + ... + 132872.

It is an arithmetic number, because the mean of its divisors is an integer number (155507625).

Almost surely, 25016600072 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 5016600072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464366000).

5016600072 is an abundant number, since it is smaller than the sum of its proper divisors (9912131928).

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

5016600072 is a wasteful number, since it uses less digits than its factorization.

5016600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45731 (or 45724 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5016600072 is about 70827.9610888242. The cubic root of 5016600072 is about 1711.8662378751.

Adding to 5016600072 its reverse (2700066105), we get a palindrome (7716666177).

The spelling of 5016600072 in words is "five billion, sixteen million, six hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 139 198 264 278 396 417 556 792 834 1112 1251 1529 1668 2502 3058 3336 4587 5004 6116 9174 10008 12232 13761 18348 27522 36696 45569 55044 91138 110088 136707 182276 273414 364552 410121 501259 546828 820242 1002518 1093656 1503777 1640484 2005036 3007554 3280968 4010072 4511331 6015108 6334091 9022662 12030216 12668182 18045324 19002273 25336364 36090648 38004546 50672728 57006819 69675001 76009092 114013638 139350002 152018184 209025003 228027276 278700004 418050006 456054552 557400008 627075009 836100012 1254150018 1672200024 2508300036 5016600072