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41253307056 = 24321389247607
BaseRepresentation
bin100110011010111000…
…111000001010110000
310221111000101010120100
4212122320320022300
51133441321311211
630541305312400
72660203216143
oct463270701260
9127430333510
1041253307056
111654a4641a5
127bb3795700
133b7591c480
141dd4c1605a
151116a52156
hex99ae382b0

41253307056 has 120 divisors (see below), whose sum is σ = 125730390240. Its totient is φ = 12550652928.

The previous prime is 41253307033. The next prime is 41253307079. The reversal of 41253307056 is 65070335214.

41253307056 is a `hidden beast` number, since 4 + 1 + 2 + 533 + 0 + 70 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (41253307033) and next prime (41253307079).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41253307056.

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, 42805 + ... + 290411.

It is an arithmetic number, because the mean of its divisors is an integer number (1047753252).

Almost surely, 241253307056 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 41253307056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62865195120).

41253307056 is an abundant number, since it is smaller than the sum of its proper divisors (84477083184).

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

41253307056 is a wasteful number, since it uses less digits than its factorization.

41253307056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247723 (or 247714 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 41253307056 in words is "forty-one billion, two hundred fifty-three million, three hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 267 312 356 468 534 624 712 801 936 1068 1157 1424 1602 1872 2136 2314 3204 3471 4272 4628 6408 6942 9256 10413 12816 13884 18512 20826 27768 41652 55536 83304 166608 247607 495214 742821 990428 1485642 1980856 2228463 2971284 3218891 3961712 4456926 5942568 6437782 8913852 9656673 11885136 12875564 17827704 19313346 22037023 25751128 28970019 35655408 38626692 44074046 51502256 57940038 66111069 77253384 88148092 115880076 132222138 154506768 176296184 198333207 231760152 264444276 286481299 352592368 396666414 463520304 528888552 572962598 793332828 859443897 1057777104 1145925196 1586665656 1718887794 2291850392 2578331691 3173331312 3437775588 4583700784 5156663382 6875551176 10313326764 13751102352 20626653528 41253307056