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5006001616 = 2471127714669
BaseRepresentation
bin1001010100110000…
…11000010111010000
3110220212200020020021
410222120120113100
540223014022431
62144423553224
7235024211620
oct45230302720
913825606207
105006001616
112139837120
12b785bb814
1361a180545
14356bc4880
151e473eb11
hex12a6185d0

5006001616 has 80 divisors (see below), whose sum is σ = 12136901760. Its totient is φ = 1943216640.

The previous prime is 5006001607. The next prime is 5006001647. The reversal of 5006001616 is 6161006005.

It is a super-2 number, since 2×50060016162 = 50120104358789222912, which contains 22 as substring.

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, 333930 + ... + 348598.

It is an arithmetic number, because the mean of its divisors is an integer number (151711272).

Almost surely, 25006001616 is an apocalyptic number.

5006001616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068450880).

5006001616 is an abundant number, since it is smaller than the sum of its proper divisors (7130900144).

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

5006001616 is a wasteful number, since it uses less digits than its factorization.

5006001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14972 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5006001616 is about 70753.1032252296. The cubic root of 5006001616 is about 1710.6598477156.

The spelling of 5006001616 in words is "five billion, six million, one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 277 308 554 616 1108 1232 1939 2216 3047 3878 4432 6094 7756 12188 14669 15512 21329 24376 29338 31024 42658 48752 58676 85316 102683 117352 161359 170632 205366 234704 322718 341264 410732 645436 821464 1129513 1290872 1642928 2259026 2581744 4063313 4518052 8126626 9036104 16253252 18072208 28443191 32506504 44696443 56886382 65013008 89392886 113772764 178785772 227545528 312875101 357571544 455091056 625750202 715143088 1251500404 2503000808 5006001616