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152500102014 = 231323234710651
BaseRepresentation
bin1000111000000110110…
…1101110001101111110
3112120121222211212002110
42032001231232031332
54444310011231024
6154020234234450
714006044323261
oct2160155561576
9476558755073
10152500102014
1159747371867
122567bb85a26
13114c4516170
14754982acd8
153e7832a629
hex2381b6e37e

152500102014 has 96 divisors (see below), whose sum is σ = 344385465984. Its totient is φ = 44749425600.

The previous prime is 152500101997. The next prime is 152500102019. The reversal of 152500102014 is 410201005251.

It is a super-2 number, since 2×1525001020142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152500102019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14312589 + ... + 14323239.

It is an arithmetic number, because the mean of its divisors is an integer number (3587348604).

Almost surely, 2152500102014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152500102014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172192732992).

152500102014 is an abundant number, since it is smaller than the sum of its proper divisors (191885363970).

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

152500102014 is a wasteful number, since it uses less digits than its factorization.

152500102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 152500102014 its reverse (410201005251), we get a palindrome (562701107265).

The spelling of 152500102014 in words is "one hundred fifty-two billion, five hundred million, one hundred two thousand, fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 347 529 598 694 897 1041 1058 1587 1794 2082 3174 4511 6877 7981 9022 10651 13533 13754 15962 20631 21302 23943 27066 31953 41262 47886 63906 103753 138463 183563 207506 244973 276926 311259 367126 415389 489946 550689 622518 734919 830778 1101378 1469838 2386319 3184649 3695897 4772638 5634379 6369298 7158957 7391794 9553947 11087691 11268758 14317914 16903137 19107894 22175382 33806274 48046661 73246927 85005631 96093322 144139983 146493854 170011262 219740781 255016893 288279966 439481562 510033786 1105073203 1955129513 2210146406 3315219609 3910259026 5865388539 6630439218 11730777078 25416683669 50833367338 76250051007 152500102014