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40724163808 = 2541833671019
BaseRepresentation
bin100101111011010110…
…010110110011100000
310220010010200212111021
4211323112112303200
51131400341220213
630413004055224
72641116452356
oct457326266340
9126103625437
1040724163808
11162a8802029
127a86534514
133ac0102363
141d848357d6
1510d537dd8d
hex97b596ce0

40724163808 has 96 divisors (see below), whose sum is σ = 83429015040. Its totient is φ = 19553418240.

The previous prime is 40724163803. The next prime is 40724163829. The reversal of 40724163808 is 80836142704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40724163803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39964323 + ... + 39965341.

It is an arithmetic number, because the mean of its divisors is an integer number (869052240).

Almost surely, 240724163808 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 40724163808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41714507520).

40724163808 is an abundant number, since it is smaller than the sum of its proper divisors (42704851232).

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

40724163808 is a wasteful number, since it uses less digits than its factorization.

40724163808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 40724163808 in words is "forty billion, seven hundred twenty-four million, one hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 41 82 83 164 166 328 332 367 656 664 734 1019 1312 1328 1468 2038 2656 2936 3403 4076 5872 6806 8152 11744 13612 15047 16304 27224 30094 30461 32608 41779 54448 60188 60922 83558 84577 108896 120376 121844 167116 169154 240752 243688 334232 338308 373973 481504 487376 668464 676616 747946 974752 1248901 1336928 1353232 1495892 2497802 2706464 2991784 3467657 4995604 5983568 6935314 9991208 11967136 13870628 15332893 19982416 27741256 30665786 31039759 39964832 55482512 61331572 62079518 110965024 122663144 124159036 245326288 248318072 490652576 496636144 993272288 1272630119 2545260238 5090520476 10181040952 20362081904 40724163808