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41661635456 = 277102145541
BaseRepresentation
bin100110110011001110…
…100001101110000000
310222112110201100211102
4212303032201232000
51140310334313311
631050013233532
73003262026020
oct466316415600
9128473640742
1041661635456
11167399a8391
1280a84928a8
133c0c3b87cc
142033147a80
15113c80d43b
hex9b33a1b80

41661635456 has 64 divisors (see below), whose sum is σ = 94949604960. Its totient is φ = 17837107200.

The previous prime is 41661635443. The next prime is 41661635459. The reversal of 41661635456 is 65453616614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 41661635456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41661635459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892046 + ... + 937586.

Almost surely, 241661635456 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 41661635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47474802480).

41661635456 is an abundant number, since it is smaller than the sum of its proper divisors (53287969504).

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

41661635456 is a wasteful number, since it uses less digits than its factorization.

41661635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46583 (or 46571 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 47.

The spelling of 41661635456 in words is "forty-one billion, six hundred sixty-one million, six hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1021 2042 4084 7147 8168 14294 16336 28588 32672 45541 57176 65344 91082 114352 130688 182164 228704 318787 364328 457408 637574 728656 914816 1275148 1457312 2550296 2914624 5100592 5829248 10201184 20402368 40804736 46497361 92994722 185989444 325481527 371978888 650963054 743957776 1301926108 1487915552 2603852216 2975831104 5207704432 5951662208 10415408864 20830817728 41661635456