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382713167540 = 225112193819409
BaseRepresentation
bin1011001000110110111…
…10110111111010110100
31100120211221100021220202
411210123132313322310
522232244032330130
6451452131220032
736435663151364
oct5443336677264
91316757307822
10382713167540
11138342673300
1262209a47618
132a1220aa6b2
141474837a9a4
159e4de64145
hex591b7b7eb4

382713167540 has 72 divisors (see below), whose sum is σ = 887981506440. Its totient is φ = 138447175680.

The previous prime is 382713167537. The next prime is 382713167549. The reversal of 382713167540 is 45761317283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79026205456 + 303686962084 = 281116^2 + 551078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382713167549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57356 + ... + 876764.

Almost surely, 2382713167540 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 382713167540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443990753220).

382713167540 is an abundant number, since it is smaller than the sum of its proper divisors (505268338900).

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

382713167540 is a wasteful number, since it uses less digits than its factorization.

382713167540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819633 (or 819620 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 382713167540 in words is "three hundred eighty-two billion, seven hundred thirteen million, one hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 193 220 242 386 484 605 772 965 1210 1930 2123 2420 3860 4246 8492 10615 21230 23353 42460 46706 93412 116765 233530 467060 819409 1638818 3277636 4097045 8194090 9013499 16388180 18026998 36053996 45067495 90134990 99148489 158145937 180269980 198296978 316291874 396593956 495742445 632583748 790729685 991484890 1581459370 1739605307 1982969780 3162918740 3479210614 6958421228 8698026535 17396053070 19135658377 34792106140 38271316754 76542633508 95678291885 191356583770 382713167540