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2085231268560 = 243511789860329
BaseRepresentation
bin11110010110000001011…
…110000001001011010000
321101100100100111220100110
4132112001132001023100
5233131023201043220
64233535250521320
7303436655222346
oct36260136011320
97340310456313
102085231268560
11734383764410
1229816b896240
1312183740c56b
1472cd62cb996
1539395886be0
hex1e5817812d0

2085231268560 has 80 divisors (see below), whose sum is σ = 7051873026240. Its totient is φ = 505510609920.

The previous prime is 2085231268537. The next prime is 2085231268567. The reversal of 2085231268560 is 658621325802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085231268567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394927525 + ... + 394932804.

It is an arithmetic number, because the mean of its divisors is an integer number (88148412828).

Almost surely, 22085231268560 is an apocalyptic number.

2085231268560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085231268560 is an abundant number, since it is smaller than the sum of its proper divisors (4966641757680).

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

2085231268560 is a wasteful number, since it uses less digits than its factorization.

2085231268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789860356 (or 789860350 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 2085231268560 in words is "two trillion, eighty-five billion, two hundred thirty-one million, two hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 789860329 1579720658 2369580987 3159441316 3949301645 4739161974 6318882632 7898603290 8688463619 9478323948 11847904935 12637765264 15797206580 17376927238 18956647896 23695809870 26065390857 31594413160 34753854476 37913295792 43442318095 47391619740 52130781714 63188826320 69507708952 86884636190 94783239480 104261563428 130326954285 139015417904 173769272380 189566478960 208523126856 260653908570 347538544760 417046253712 521307817140 695077089520 1042615634280 2085231268560