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58147010200 = 23525318130307
BaseRepresentation
bin110110001001110101…
…001111011010011000
312120002100212011121101
4312021311033122120
51423041113311300
642413512121144
74125636301036
oct661165173230
9176070764541
1058147010200
1122729520434
12b3293961b4
1356388a5c16
142b58745556
1517a4c2db6a
hexd89d4f698

58147010200 has 96 divisors (see below), whose sum is σ = 138508166160. Its totient is φ = 22693132800.

The previous prime is 58147010189. The next prime is 58147010231. The reversal of 58147010200 is 201074185.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1903447 + ... + 1933753.

Almost surely, 258147010200 is an apocalyptic number.

58147010200 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 58147010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69254083080).

58147010200 is an abundant number, since it is smaller than the sum of its proper divisors (80361155960).

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

58147010200 is a wasteful number, since it uses less digits than its factorization.

58147010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30557 (or 30548 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

Adding to 58147010200 its reverse (201074185), we get a palindrome (58348084385).

The spelling of 58147010200 in words is "fifty-eight billion, one hundred forty-seven million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 181 200 212 265 362 424 530 724 905 1060 1325 1448 1810 2120 2650 3620 4525 5300 7240 9050 9593 10600 18100 19186 30307 36200 38372 47965 60614 76744 95930 121228 151535 191860 239825 242456 303070 383720 479650 606140 757675 959300 1212280 1515350 1606271 1918600 3030700 3212542 5485567 6061400 6425084 8031355 10971134 12850168 16062710 21942268 27427835 32125420 40156775 43884536 54855670 64250840 80313550 109711340 137139175 160627100 219422680 274278350 290735051 321254200 548556700 581470102 1097113400 1162940204 1453675255 2325880408 2907350510 5814701020 7268376275 11629402040 14536752550 29073505100 58147010200