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40972761585 = 3257671941377
BaseRepresentation
bin100110001010001010…
…101011100111110001
310220202110110221112100
4212022022223213301
51132403011332320
630453404251013
72650225504260
oct461212534761
9126673427470
1040972761585
1116416068238
127b35840a69
133b2c773732
141da98685d7
1510ec0d7790
hex98a2ab9f1

40972761585 has 48 divisors (see below), whose sum is σ = 82376551296. Its totient is φ = 18450837504.

The previous prime is 40972761541. The next prime is 40972761593. The reversal of 40972761585 is 58516727904.

40972761585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40972761585 - 27 = 40972761457 is a prime.

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, 949584 + ... + 991793.

It is an arithmetic number, because the mean of its divisors is an integer number (1716178152).

Almost surely, 240972761585 is an apocalyptic number.

40972761585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40972761585 is an abundant number, since it is smaller than the sum of its proper divisors (41403789711).

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

40972761585 is a wasteful number, since it uses less digits than its factorization.

40972761585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941462 (or 1941459 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 40972761585 in words is "forty billion, nine hundred seventy-two million, seven hundred sixty-one thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 7035 21105 1941377 5824131 9706885 13589639 17472393 29120655 40768917 67948195 87361965 122306751 130072259 203844585 390216777 611533755 650361295 910505813 1170650331 1951083885 2731517439 4552529065 5853251655 8194552317 13657587195 40972761585