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5067001700 = 22521916316361
BaseRepresentation
bin1001011100000010…
…00100111101100100
3111002010110100121122
410232001010331210
540334123023300
62154443233112
7236364542465
oct45601047544
914063410548
105067001700
112170210412
12b94b18798
136299ba777
14360d42d6c
151e9c8dc85
hex12e044f64

5067001700 has 72 divisors (see below), whose sum is σ = 11645817120. Its totient is φ = 1908230400.

The previous prime is 5067001649. The next prime is 5067001703. The reversal of 5067001700 is 71007605.

It is a self number, because there is not a number n which added to its sum of digits gives 5067001700.

It is not an unprimeable number, because it can be changed into a prime (5067001703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301520 + ... + 317880.

It is an arithmetic number, because the mean of its divisors is an integer number (161747460).

Almost surely, 25067001700 is an apocalyptic number.

5067001700 is a gapful number since it is divisible by the number (50) 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 5067001700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822908560).

5067001700 is an abundant number, since it is smaller than the sum of its proper divisors (6578815420).

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

5067001700 is a wasteful number, since it uses less digits than its factorization.

5067001700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16557 (or 16550 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 5067001700 is about 71182.8750473033. The cubic root of 5067001700 is about 1717.5801671308.

The spelling of 5067001700 in words is "five billion, sixty-seven million, one thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 163 190 326 380 475 652 815 950 1630 1900 3097 3260 4075 6194 8150 12388 15485 16300 16361 30970 32722 61940 65444 77425 81805 154850 163610 309700 310859 327220 409025 621718 818050 1243436 1554295 1636100 2666843 3108590 5333686 6217180 7771475 10667372 13334215 15542950 26668430 31085900 50670017 53336860 66671075 101340034 133342150 202680068 253350085 266684300 506700170 1013400340 1266750425 2533500850 5067001700