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41785961436 = 223223389129733
BaseRepresentation
bin100110111010101000…
…110010101111011100
310222212010122210000100
4212322220302233130
51141034201231221
631110214101100
73006331545312
oct467250625734
9128763583010
1041785961436
11167a30a432a
12812204a790
133c2c09878b
14204586c0b2
1511486ba926
hex9baa32bdc

41785961436 has 72 divisors (see below), whose sum is σ = 110502231840. Its totient is φ = 13288708224.

The previous prime is 41785961417. The next prime is 41785961447. The reversal of 41785961436 is 63416958714.

41785961436 is a `hidden beast` number, since 4 + 1 + 7 + 8 + 596 + 1 + 43 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257226 + ... + 386958.

It is an arithmetic number, because the mean of its divisors is an integer number (1534753220).

Almost surely, 241785961436 is an apocalyptic number.

41785961436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41785961436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55251115920).

41785961436 is an abundant number, since it is smaller than the sum of its proper divisors (68716270404).

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

41785961436 is a wasteful number, since it uses less digits than its factorization.

41785961436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130155 (or 130150 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 41785961436 in words is "forty-one billion, seven hundred eighty-five million, nine hundred sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 389 414 778 828 1167 1556 2334 3501 4668 7002 8947 14004 17894 26841 35788 53682 80523 107364 129733 161046 259466 322092 389199 518932 778398 1167597 1556796 2335194 2983859 4670388 5967718 8951577 11935436 17903154 26854731 35806308 50466137 53709462 100932274 107418924 151398411 201864548 302796822 454195233 605593644 908390466 1160721151 1816780932 2321442302 3482163453 4642884604 6964326906 10446490359 13928653812 20892980718 41785961436