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41764243104 = 2532672164399
BaseRepresentation
bin100110111001010101…
…111100011010100000
310222210121210101001200
4212321111330122200
51141013121234404
631104120401200
73005646131463
oct467125743240
9128717711050
1041764243104
111679190aaa1
128116916200
133c277331ac
142042a172da
15114682a839
hex9b957c6a0

41764243104 has 72 divisors (see below), whose sum is σ = 120539764800. Its totient is φ = 13713625728.

The previous prime is 41764243069. The next prime is 41764243123. The reversal of 41764243104 is 40134246714.

41764243104 is a `hidden beast` number, since 4 + 1 + 7 + 642 + 4 + 3 + 1 + 0 + 4 = 666.

41764243104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×417642431043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062904 + ... + 1101495.

It is an arithmetic number, because the mean of its divisors is an integer number (1674163400).

Almost surely, 241764243104 is an apocalyptic number.

It is an amenable number.

41764243104 is an abundant number, since it is smaller than the sum of its proper divisors (78775521696).

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

41764243104 is a wasteful number, since it uses less digits than its factorization.

41764243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164482 (or 2164471 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 41764243104 its reverse (40134246714), we get a palindrome (81898489818).

The spelling of 41764243104 in words is "forty-one billion, seven hundred sixty-four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 2164399 4328798 6493197 8657596 12986394 17315192 19479591 25972788 34630384 38959182 51945576 69260768 77918364 103891152 145014733 155836728 207782304 290029466 311673456 435044199 580058932 623346912 870088398 1160117864 1305132597 1740176796 2320235728 2610265194 3480353592 4640471456 5220530388 6960707184 10441060776 13921414368 20882121552 41764243104