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2017143393552 = 243374253156841
BaseRepresentation
bin11101010110100111000…
…111011000110100010000
321010211121012011110212000
4131112213013120310100
5231022102202043202
64142355103234000
7265506456642210
oct35264707306420
97124535143760
102017143393552
1170851394a131
12286b292a8900
131182a6182621
146d8b7618240
153770d07b91c
hex1d5a71d8d10

2017143393552 has 160 divisors (see below), whose sum is σ = 6618682210560. Its totient is φ = 576187499520.

The previous prime is 2017143393539. The next prime is 2017143393557. The reversal of 2017143393552 is 2553933417102.

2017143393552 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 1 + 4 + 3 + 3 + 93 + 552 = 666.

It is a super-3 number, since 3×20171433935523 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2017143393498 and 2017143393507.

It is not an unprimeable number, because it can be changed into a prime (2017143393557) 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, 12782652 + ... + 12939492.

It is an arithmetic number, because the mean of its divisors is an integer number (41366763816).

Almost surely, 22017143393552 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 2017143393552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309341105280).

2017143393552 is an abundant number, since it is smaller than the sum of its proper divisors (4601538817008).

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

2017143393552 is a wasteful number, since it uses less digits than its factorization.

2017143393552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161118 (or 161106 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 2017143393552 in words is "two trillion, seventeen billion, one hundred forty-three million, three hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4253 8506 12759 17012 25518 29771 34024 38277 51036 59542 68048 76554 89313 102072 114831 119084 153108 156841 178626 204144 229662 238168 267939 306216 313682 357252 459324 470523 476336 535878 612432 627364 714504 803817 918648 941046 1071756 1097887 1254728 1411569 1429008 1607634 1837296 1882092 2143512 2195774 2509456 2823138 3215268 3293661 3764184 4234707 4287024 4391548 5646276 6430536 6587322 7528368 8469414 8783096 9880983 11292552 12861072 13174644 16938828 17566192 19761966 22585104 26349288 29642949 33877656 39523932 52698576 59285898 67755312 79047864 118571796 158095728 237143592 474287184 667044773 1334089546 2001134319 2668179092 4002268638 4669313411 5336358184 6003402957 8004537276 9338626822 10672716368 12006805914 14007940233 16009074552 18010208871 18677253644 24013611828 28015880466 32018149104 36020417742 37354507288 42023820699 48027223656 56031760932 72040835484 74709014576 84047641398 96054447312 112063521864 126071462097 144081670968 168095282796 224127043728 252142924194 288163341936 336190565592 504285848388 672381131184 1008571696776 2017143393552