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1325236405668 = 223722983639293
BaseRepresentation
bin10011010010001110001…
…111101100010110100100
311200200200000002200122120
4103102032033230112210
5133203041004440133
62452445531225540
7164513410405200
oct23221617542644
94620600080576
101325236405668
114710364472aa
12194a0aba82b0
1397c7a5c3766
14481db0adb00
1524714743ab3
hex1348e3ec5a4

1325236405668 has 144 divisors (see below), whose sum is σ = 3721952566080. Its totient is φ = 365499407616.

The previous prime is 1325236405667. The next prime is 1325236405711. The reversal of 1325236405668 is 8665046325231.

It is a self number, because there is not a number n which added to its sum of digits gives 1325236405668.

It is not an unprimeable number, because it can be changed into a prime (1325236405667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142601230 + ... + 142610522.

It is an arithmetic number, because the mean of its divisors is an integer number (25846892820).

Almost surely, 21325236405668 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 1325236405668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860976283040).

1325236405668 is an abundant number, since it is smaller than the sum of its proper divisors (2396716160412).

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

1325236405668 is a wasteful number, since it uses less digits than its factorization.

1325236405668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 1325236405668 in words is "one trillion, three hundred twenty-five billion, two hundred thirty-six million, four hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8363 8526 9293 16726 17052 18586 25089 27879 33452 37172 50178 55758 58541 65051 100356 111516 117082 130102 175623 195153 234164 242527 260204 269497 351246 390306 409787 455357 485054 538994 702492 727581 780612 808491 819574 910714 970108 1077988 1229361 1366071 1455162 1616982 1639148 1697689 1821428 1886479 2458722 2732142 2910324 3233964 3395378 3772958 4917444 5093067 5464284 5659437 6790756 7545916 10186134 11318874 11883823 13205353 20372268 22637748 23767646 26410706 35651469 39616059 47535292 52821412 71302938 77717359 79232118 142605876 155434718 158464236 233152077 310869436 466304154 544021513 932608308 1088043026 1632064539 2176086052 2253803411 3264129078 3808150591 4507606822 6528258156 6761410233 7616301182 9015213644 11424451773 13522820466 15232602364 15776623877 22848903546 27045640932 31553247754 45697807092 47329871631 63106495508 94659743262 110436367139 189319486524 220872734278 331309101417 441745468556 662618202834 1325236405668