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66002224504100 = 22527312743709519
BaseRepresentation
bin11110000000111010101110…
…01001010101110100100100
322122200202021111201120211012
433000131113021111310210
532122340023433112400
6352213000420201352
716621334436424403
oct1700352711256444
9278622244646735
1066002224504100
111a0374280703a5
12749b80b539258
132aa9ca1a3c1b1
14124274bb4163a
15796d08e97d35
hex3c0757255d24

66002224504100 has 72 divisors (see below), whose sum is σ = 145198409207040. Its totient is φ = 26037153665280.

The previous prime is 66002224504067. The next prime is 66002224504127. The reversal of 66002224504100 is 140542220066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92669141 + ... + 93378659.

It is an arithmetic number, because the mean of its divisors is an integer number (2016644572320).

Almost surely, 266002224504100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66002224504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72599204603520).

66002224504100 is an abundant number, since it is smaller than the sum of its proper divisors (79196184702940).

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

66002224504100 is a wasteful number, since it uses less digits than its factorization.

66002224504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722349 (or 722342 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 66002224504100 its reverse (140542220066), we get a palindrome (66142766724166).

The spelling of 66002224504100 in words is "sixty-six trillion, two billion, two hundred twenty-four million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 12743 25486 50972 63715 127430 254860 318575 637150 709519 930239 1274300 1419038 1860478 2838076 3547595 3720956 4651195 7095190 9302390 14190380 17737975 18604780 23255975 35475950 46511950 51794887 70951900 93023900 103589774 207179548 258974435 517948870 1035897740 1294872175 2589744350 5179488700 9041400617 18082801234 36165602468 45207003085 90414006170 180828012340 226035015425 452070030850 660022245041 904140061700 1320044490082 2640088980164 3300111225205 6600222450410 13200444900820 16500556126025 33001112252050 66002224504100