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5042709216 = 25338636763
BaseRepresentation
bin1001011001001000…
…11010001011100000
3111000102202011121000
410230210122023200
540311413143331
62152214432000
7235651215066
oct45444321340
914012664530
105042709216
112158529086
12b88962600
1362496360c
1435ba1c036
151e7a910e6
hex12c91a2e0

5042709216 has 96 divisors (see below), whose sum is σ = 14727121920. Its totient is φ = 1678707072.

The previous prime is 5042709197. The next prime is 5042709223. The reversal of 5042709216 is 6129072405.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 742251 + ... + 749013.

It is an arithmetic number, because the mean of its divisors is an integer number (153407520).

Almost surely, 25042709216 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 5042709216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363560960).

5042709216 is an abundant number, since it is smaller than the sum of its proper divisors (9684412704).

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

5042709216 is a wasteful number, since it uses less digits than its factorization.

5042709216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5042709216 is about 71012.0357122650. The cubic root of 5042709216 is about 1714.8309314361.

The spelling of 5042709216 in words is "five billion, forty-two million, seven hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 863 864 1726 2589 3452 5178 6763 6904 7767 10356 13526 13808 15534 20289 20712 23301 27052 27616 31068 40578 41424 46602 54104 60867 62136 81156 82848 93204 108208 121734 124272 162312 182601 186408 216416 243468 248544 324624 365202 372816 486936 649248 730404 745632 973872 1460808 1947744 2921616 5836469 5843232 11672938 17509407 23345876 35018814 46691752 52528221 70037628 93383504 105056442 140075256 157584663 186767008 210112884 280150512 315169326 420225768 560301024 630338652 840451536 1260677304 1680903072 2521354608 5042709216