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17052042630 = 235732957143
BaseRepresentation
bin11111110000110000…
…11000010110000110
31122000101102111222110
433320120120112012
5234410310331010
611500020241450
71142364654000
oct177030302606
948011374873
1017052042630
117260485017
12337a840286
1317b9a1546c
14b7a989370
1569c057120
hex3f8618586

17052042630 has 128 divisors (see below), whose sum is σ = 49372416000. Its totient is φ = 3763143552.

The previous prime is 17052042569. The next prime is 17052042647. The reversal of 17052042630 is 3624025071.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269839 + ... + 326981.

It is an arithmetic number, because the mean of its divisors is an integer number (385722000).

Almost surely, 217052042630 is an apocalyptic number.

17052042630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17052042630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686208000).

17052042630 is an abundant number, since it is smaller than the sum of its proper divisors (32320373370).

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

17052042630 is a wasteful number, since it uses less digits than its factorization.

17052042630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57203 (or 57189 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

It can be divided in two parts, 170520 and 42630, that multiplied together give a square (7269267600 = 852602).

The spelling of 17052042630 in words is "seventeen billion, fifty-two million, forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 145 147 174 203 210 245 290 294 343 406 435 490 609 686 735 870 1015 1029 1218 1421 1470 1715 2030 2058 2842 3045 3430 4263 5145 6090 7105 8526 9947 10290 14210 19894 21315 29841 42630 49735 57143 59682 99470 114286 149205 171429 285715 298410 342858 400001 571430 800002 857145 1200003 1657147 1714290 2000005 2400006 2800007 3314294 4000010 4971441 5600014 6000015 8285735 8400021 9942882 11600029 12000030 14000035 16571470 16800042 19600049 23200058 24857205 28000070 34800087 39200098 42000105 49714410 58000145 58800147 69600174 81200203 84000210 98000245 116000290 117600294 162400406 174000435 196000490 243600609 294000735 348000870 406001015 487201218 568401421 588001470 812002030 1136802842 1218003045 1705204263 2436006090 2842007105 3410408526 5684014210 8526021315 17052042630