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41116471296 = 21235956713
BaseRepresentation
bin100110010010101110…
…111001000000000000
310221010110220011012020
4212102232321000000
51133201304040141
630515540401440
72653622145105
oct462256710000
9127113804166
1041116471296
111648a1a349a
127b759a6280
133b5347c474
141dc0996aac
151109a23266
hex992bb9000

41116471296 has 104 divisors (see below), whose sum is σ = 111490649760. Its totient is φ = 13472956416.

The previous prime is 41116471271. The next prime is 41116471307. The reversal of 41116471296 is 69217461114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696636 + ... + 753348.

Almost surely, 241116471296 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 41116471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55745324880).

41116471296 is an abundant number, since it is smaller than the sum of its proper divisors (70374178464).

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

41116471296 is an equidigital number, since it uses as much as digits as its factorization.

41116471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56799 (or 56777 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 41116471296 in words is "forty-one billion, one hundred sixteen million, four hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1024 1416 1536 1888 2048 2832 3072 3776 4096 5664 6144 7552 11328 12288 15104 22656 30208 45312 56713 60416 90624 113426 120832 170139 181248 226852 241664 340278 362496 453704 680556 724992 907408 1361112 1814816 2722224 3346067 3629632 5444448 6692134 7259264 10038201 10888896 13384268 14518528 20076402 21777792 26768536 29037056 40152804 43555584 53537072 58074112 80305608 87111168 107074144 116148224 160611216 174222336 214148288 232296448 321222432 348444672 428296576 642444864 696889344 856593152 1284889728 1713186304 2569779456 3426372608 5139558912 6852745216 10279117824 13705490432 20558235648 41116471296