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252010020320 = 25519415319961
BaseRepresentation
bin1110101010110011110…
…1111011110111100000
3220002111000022110122022
43222230331323313200
513112104031122240
6311434413201012
724131020554212
oct3525475736740
9802430273568
10252010020320
11979710a5273
1240a11790168
131a9c2634126
14c2a97585b2
15684e50a9b5
hex3aacf7bde0

252010020320 has 96 divisors (see below), whose sum is σ = 626891438880. Its totient is φ = 95470755840.

The previous prime is 252010020293. The next prime is 252010020373. The reversal of 252010020320 is 23020010252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615140 + ... + 12635100.

It is an arithmetic number, because the mean of its divisors is an integer number (6530119155).

Almost surely, 2252010020320 is an apocalyptic number.

252010020320 is a gapful number since it is divisible by the number (20) 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 252010020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313445719440).

252010020320 is an abundant number, since it is smaller than the sum of its proper divisors (374881418560).

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

252010020320 is a wasteful number, since it uses less digits than its factorization.

252010020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24148 (or 24140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 252010020320 its reverse (23020010252), we get a palindrome (275030030572).

The spelling of 252010020320 in words is "two hundred fifty-two billion, ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4153 8306 16612 19961 20765 33224 39922 41530 66448 78907 79844 83060 99805 132896 157814 159688 166120 199610 315628 319376 332240 379259 394535 399220 631256 638752 664480 758518 789070 798440 1262512 1517036 1578140 1596880 1896295 2525024 3034072 3156280 3193760 3792590 6068144 6312560 7585180 12136288 12625120 15170360 30340720 60681440 82898033 165796066 331592132 414490165 663184264 828980330 1326368528 1575062627 1657960660 2652737056 3150125254 3315921320 6300250508 6631842640 7875313135 12600501016 13263685280 15750626270 25201002032 31501252540 50402004064 63002505080 126005010160 252010020320