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56212144410 = 2351726796769
BaseRepresentation
bin110100010110100000…
…010100000100011010
312101002112001210201110
4310112200110010122
51410110302110120
641453513201150
74026663225642
oct642640240432
9171075053643
1056212144410
11219263210a4
12aa894001b6
1353baa85716
142a137a3522
1516dee352e0
hexd1681411a

56212144410 has 96 divisors (see below), whose sum is σ = 145452277440. Its totient is φ = 13897433088.

The previous prime is 56212144399. The next prime is 56212144421. The reversal of 56212144410 is 1444121265.

It is an interprime number because it is at equal distance from previous prime (56212144399) and next prime (56212144421).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532506 + ... + 629274.

It is an arithmetic number, because the mean of its divisors is an integer number (1515127890).

Almost surely, 256212144410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56212144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72726138720).

56212144410 is an abundant number, since it is smaller than the sum of its proper divisors (89240133030).

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

56212144410 is a wasteful number, since it uses less digits than its factorization.

56212144410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96880 (or 96863 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 56212144410 its reverse (1444121265), we get a palindrome (57656265675).

The spelling of 56212144410 in words is "fifty-six billion, two hundred twelve million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 289 335 402 510 578 670 867 1005 1139 1445 1734 2010 2278 2890 3417 4335 5695 6834 8670 11390 17085 19363 34170 38726 58089 96769 96815 116178 193538 193630 290307 290445 483845 580614 580890 967690 1451535 1645073 2903070 3290146 4935219 6483523 8225365 9870438 12967046 16450730 19450569 24676095 27966241 32417615 38901138 49352190 55932482 64835230 83898723 97252845 110219891 139831205 167797446 194505690 220439782 279662410 330659673 419493615 551099455 661319346 838987230 1102198910 1653298365 1873738147 3306596730 3747476294 5621214441 9368690735 11242428882 18737381470 28106072205 56212144410