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535131535112412 = 2237210738177222791
BaseRepresentation
bin111100110101100110000010…
…1000011101111100011011100
32121011202002000202220120021220
41321223030011003233203130
51030120043340442044122
65134044011115253340
7220500656205332100
oct17153140503574334
92534662022816256
10535131535112412
111455670117a2157
12500280b044a250
1319c798c1b05c54
14962070c49b900
1541ceeec8e025c
hex1e6b3050ef8dc

535131535112412 has 144 divisors (see below), whose sum is σ = 1466119628967168. Its totient is φ = 151461154360320.

The previous prime is 535131535112387. The next prime is 535131535112453. The reversal of 535131535112412 is 214211535131535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2401832737 + ... + 2402055527.

It is an arithmetic number, because the mean of its divisors is an integer number (10181386312272).

Almost surely, 2535131535112412 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 535131535112412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733059814483584).

535131535112412 is an abundant number, since it is smaller than the sum of its proper divisors (930988093854756).

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

535131535112412 is a wasteful number, since it uses less digits than its factorization.

535131535112412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261096 (or 261087 counting only the distinct ones).

The product of its digits is 270000, while the sum is 42.

The spelling of 535131535112412 in words is "five hundred thirty-five trillion, one hundred thirty-one billion, five hundred thirty-five million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 588 642 749 1284 1498 2247 2996 4494 5243 8988 10486 15729 20972 31458 38177 62916 76354 114531 152708 222791 229062 267239 445582 458124 534478 668373 801717 891164 1068956 1336746 1559537 1603434 1870673 2673492 3119074 3206868 3741346 4084939 4678611 5612019 6238148 7482692 8169878 9357222 10916759 11224038 12254817 16339756 18714444 21833518 22448076 23838637 24509634 28594573 32750277 43667036 47677274 49019268 57189146 65500554 71515911 85783719 95354548 114378292 131001108 143031822 166870459 171567438 200162011 286063644 333740918 343134876 400324022 500611377 600486033 667481836 800648044 1001222754 1168093213 1200972066 2002445508 2336186426 2401944132 3504279639 4672372852 7008559278 8505492007 14017118556 17010984014 25516476021 34021968028 51032952042 59538444049 102065904084 119076888098 178615332147 238153776196 357230664294 416769108343 714461328588 833538216686 910087644749 1250307325029 1667076433372 1820175289498 2500614650058 2730262934247 3640350578996 5001229300116 5460525868494 6370613513243 10921051736988 12741227026486 19111840539729 25482454052972 38223681079458 44594294592701 76447362158916 89188589185402 133782883778103 178377178370804 267565767556206 535131535112412