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2042341255660 = 22529109307105229
BaseRepresentation
bin11101101110000101000…
…001100110100111101100
321020020122021101111110011
4131232011001212213230
5231430203330140120
64202123313023004
7300361056145066
oct35560501464754
97206567344404
102042341255660
11718174438962
1228b99bb54a64
1311a7906a4cc4
1470bc7d88736
15381d52d4c5a
hex1db850669ec

2042341255660 has 96 divisors (see below), whose sum is σ = 4492142424000. Its totient is φ = 778976787456.

The previous prime is 2042341255649. The next prime is 2042341255667. The reversal of 2042341255660 is 665521432402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2042341255667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19355926 + ... + 19461154.

It is an arithmetic number, because the mean of its divisors is an integer number (46793150250).

Almost surely, 22042341255660 is an apocalyptic number.

2042341255660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042341255660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246071212000).

2042341255660 is an abundant number, since it is smaller than the sum of its proper divisors (2449801168340).

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

2042341255660 is a wasteful number, since it uses less digits than its factorization.

2042341255660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105683 (or 105681 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 2042341255660 in words is "two trillion, forty-two billion, three hundred forty-one million, two hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 290 307 436 545 580 614 1090 1228 1535 2180 3070 3161 6140 6322 8903 12644 15805 17806 31610 33463 35612 44515 63220 66926 89030 105229 133852 167315 178060 210458 334630 420916 526145 669260 970427 1052290 1940854 2104580 3051641 3881708 4852135 6103282 9704270 11469961 12206564 15258205 19408540 22939922 30516410 32305303 45879844 57349805 61032820 64610606 114699610 129221212 161526515 229399220 323053030 332628869 646106060 665257738 936853787 1330515476 1663144345 1873707574 3326288690 3521278027 3747415148 4684268935 6652577380 7042556054 9368537870 14085112108 17606390135 18737075740 35212780270 70425560540 102117062783 204234125566 408468251132 510585313915 1021170627830 2042341255660