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41681456872 = 23111926939257
BaseRepresentation
bin100110110100011010…
…001000111011101000
310222120212000101200221
4212310122020323220
51140330423104442
631052002135424
73003622352266
oct466432107350
9128525011627
1041681456872
111674a106520
1280b3051574
133c13538863
142035a27436
15113e426467
hex9b4688ee8

41681456872 has 64 divisors (see below), whose sum is σ = 89787787200. Its totient is φ = 17940349440.

The previous prime is 41681456867. The next prime is 41681456897. The reversal of 41681456872 is 27865418614.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4498068 + ... + 4507324.

It is an arithmetic number, because the mean of its divisors is an integer number (1402934175).

Almost surely, 241681456872 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 41681456872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44893893600).

41681456872 is an abundant number, since it is smaller than the sum of its proper divisors (48106330328).

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

41681456872 is a wasteful number, since it uses less digits than its factorization.

41681456872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 11982 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 41681456872 in words is "forty-one billion, six hundred eighty-one million, four hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 2693 5386 9257 10772 18514 21544 29623 37028 51167 59246 74056 101827 102334 118492 175883 203654 204668 236984 351766 407308 409336 562837 703532 814616 1125674 1407064 1934713 2251348 3869426 4502696 7738852 15477704 24929101 49858202 99716404 199432808 274220111 473652919 548440222 947305838 1096880444 1894611676 2193760888 3789223352 5210182109 10420364218 20840728436 41681456872