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28201182730192 = 24171012842936109
BaseRepresentation
bin1100110100110000110010…
…11110101001011111010000
310200212000011220122111211101
412122120121132221133100
512144022010234331232
6135551240002154144
75640316412025133
oct632303136513720
9120760156574741
1028201182730192
118a930664a213a
1231b56b3052954
13129748b2529c4
146d6d31ad421a
1533d89dee91e7
hex19a6197a97d0

28201182730192 has 80 divisors (see below), whose sum is σ = 58430381086800. Its totient is φ = 13138921267200.

The previous prime is 28201182730177. The next prime is 28201182730223. The reversal of 28201182730192 is 29103728110282.

It can be written as a sum of positive squares in 8 ways, for example, as 12712676154256 + 15488506575936 = 3565484^2 + 3935544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780983434 + ... + 781019542.

It is an arithmetic number, because the mean of its divisors is an integer number (730379763585).

Almost surely, 228201182730192 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 28201182730192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215190543400).

28201182730192 is an abundant number, since it is smaller than the sum of its proper divisors (30229198356608).

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

28201182730192 is a wasteful number, since it uses less digits than its factorization.

28201182730192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64664 (or 64658 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 28201182730192 in words is "twenty-eight trillion, two hundred one billion, one hundred eighty-two million, seven hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 28429 36109 56858 72218 113716 144436 227432 288872 454864 483293 577744 613853 966586 1227706 1933172 2455412 2871329 3647009 3866344 4910824 5742658 7294018 7732688 9821648 11485316 14588036 22970632 29176072 45941264 48812593 58352144 61999153 97625186 123998306 195250372 247996612 390500744 495993224 781001488 991986448 1026542761 2053085522 4106171044 8212342088 16424684176 17451226937 34902453874 69804907748 103680818861 139609815496 207361637722 279219630992 414723275444 829446550888 1658893101776 1762573920637 3525147841274 7050295682548 14100591365096 28201182730192