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534354112310436 = 2232112401305912281
BaseRepresentation
bin111100101111111100000001…
…1000011000110110010100100
32121001222202100211202022121200
41321133320003003012302210
51030014324210222413221
65132250520150442500
7220360545016465605
oct17137700303066244
92531882324668550
10534354112310436
111452973408a8500
124bb214a7063430
1319c214b8452562
1495d4c3c805dac
1541b9b9b743426
hex1e5fe030c6ca4

534354112310436 has 108 divisors (see below), whose sum is σ = 1488387452316492. Its totient is φ = 161521683840000.

The previous prime is 534354112310407. The next prime is 534354112310437. The reversal of 534354112310436 is 634013211453435.

534354112310436 is a `hidden beast` number, since 5 + 3 + 43 + 5 + 41 + 123 + 10 + 436 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 402805140840036 + 131548971470400 = 20070006^2 + 11469480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 534354112310391 and 534354112310400.

It is not an unprimeable number, because it can be changed into a prime (534354112310437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151209385 + ... + 154702896.

Almost surely, 2534354112310436 is an apocalyptic number.

It is an amenable number.

534354112310436 is an abundant number, since it is smaller than the sum of its proper divisors (954033340006056).

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

534354112310436 is a wasteful number, since it uses less digits than its factorization.

534354112310436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305912714 (or 305912698 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 534354112310436 in words is "five hundred thirty-four trillion, three hundred fifty-four billion, one hundred twelve million, three hundred ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 401 484 726 802 1089 1203 1452 1604 2178 2406 3609 4356 4411 4812 7218 8822 13233 14436 17644 26466 39699 48521 52932 79398 97042 145563 158796 194084 291126 436689 582252 873378 1746756 305912281 611824562 917736843 1223649124 1835473686 2753210529 3365035091 3670947372 5506421058 6730070182 10095105273 11012842116 13460140364 20190210546 30285315819 37015386001 40380421092 60570631638 74030772002 111046158003 121141263276 122670824681 148061544004 222092316006 245341649362 333138474009 368012474043 444184632012 490683298724 666276948018 736024948086 1104037422129 1332553896036 1349379071491 1472049896172 2208074844258 2698758142982 4048137214473 4416149688516 5397516285964 8096274428946 12144411643419 14843169786401 16192548857892 24288823286838 29686339572802 44529509359203 48577646573676 59372679145604 89059018718406 133588528077609 178118037436812 267177056155218 534354112310436