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41084537952 = 253467916411
BaseRepresentation
bin100110010000110101…
…000100110001100000
310221001020210202212210
4212100311010301200
51133120120203302
630512440122120
72653053545013
oct462065046140
9127036722783
1041084537952
11164731724a7
127b67166340
133b4997b4b3
141dba64337a
151106d1666c
hex990d44c60

41084537952 has 48 divisors (see below), whose sum is σ = 108077965632. Its totient is φ = 13665505920.

The previous prime is 41084537947. The next prime is 41084537969. The reversal of 41084537952 is 25973548014.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413374 + ... + 503037.

It is an arithmetic number, because the mean of its divisors is an integer number (2251624284).

Almost surely, 241084537952 is an apocalyptic number.

It is an amenable number.

41084537952 is an abundant number, since it is smaller than the sum of its proper divisors (66993427680).

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

41084537952 is a wasteful number, since it uses less digits than its factorization.

41084537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916891 (or 916883 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 41084537952 in words is "forty-one billion, eighty-four million, five hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 44832 916411 1832822 2749233 3665644 5498466 7331288 10996932 14662576 21993864 29325152 43987728 87975456 427963937 855927874 1283891811 1711855748 2567783622 3423711496 5135567244 6847422992 10271134488 13694845984 20542268976 41084537952