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1306066600404 = 2233113412925919
BaseRepresentation
bin10011000000010111101…
…000101100000111010100
311121212012000201200111000
4103000113220230013110
5132344311022203104
62435555415543300
7163234355634126
oct23002750540724
94555160650430
101306066600404
11463999601935
1219115b08ab30
1396213c11517
14472dd173216
1523e91816639
hex13017a2c1d4

1306066600404 has 96 divisors (see below), whose sum is σ = 3417023232000. Its totient is φ = 431381680128.

The previous prime is 1306066600387. The next prime is 1306066600511. The reversal of 1306066600404 is 4040066606031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50377357 + ... + 50403275.

It is an arithmetic number, because the mean of its divisors is an integer number (35593992000).

Almost surely, 21306066600404 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 1306066600404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708511616000).

1306066600404 is an abundant number, since it is smaller than the sum of its proper divisors (2110956631596).

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

1306066600404 is a wasteful number, since it uses less digits than its factorization.

1306066600404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30174 (or 30166 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1306066600404 in words is "one trillion, three hundred six billion, sixty-six million, six hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 4129 6102 8258 12204 12387 16516 24774 25919 37161 49548 51838 74322 77757 103676 111483 148644 155514 222966 233271 311028 445932 466542 466577 699813 933084 933154 1399626 1399731 1866308 2799252 2799462 2928847 4199193 5598924 5857694 8398386 8786541 11715388 12597579 16796772 17573082 25195158 26359623 35146164 50390316 52719246 79078869 105438492 107019551 158157738 214039102 316315476 321058653 428078204 642117306 963175959 1284234612 1926351918 2889527877 3852703836 5779055754 11558111508 12093209263 24186418526 36279627789 48372837052 72559255578 108838883367 145118511156 217677766734 326516650101 435355533468 653033300202 1306066600404