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41353137868 = 227231075711051
BaseRepresentation
bin100110100000110101…
…101100111011001100
310221201222020001200211
4212200311230323030
51134142400402433
630555233132204
72662524605110
oct464065547314
9127658201624
1041353137868
11165a084a5a9
1280210ba064
133b90503c63
1420041a1740
1511206c18cd
hex9a0d6cecc

41353137868 has 96 divisors (see below), whose sum is σ = 87344345088. Its totient is φ = 16748424000.

The previous prime is 41353137827. The next prime is 41353137869. The reversal of 41353137868 is 86873135314.

41353137868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41353137869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39345943 + ... + 39346993.

It is an arithmetic number, because the mean of its divisors is an integer number (909836928).

Almost surely, 241353137868 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 41353137868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43672172544).

41353137868 is an abundant number, since it is smaller than the sum of its proper divisors (45991207220).

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

41353137868 is a wasteful number, since it uses less digits than its factorization.

41353137868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1761 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 41353137868 in words is "forty-one billion, three hundred fifty-three million, one hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 107 161 214 322 428 571 644 749 1051 1142 1498 2102 2284 2461 2996 3997 4204 4922 7357 7994 9844 13133 14714 15988 17227 24173 26266 29428 34454 48346 52532 61097 68908 91931 96692 112457 122194 169211 183862 224914 244388 338422 367724 427679 449828 600121 676844 787199 855358 1200242 1405231 1574398 1710716 2400484 2586511 2810462 3148796 4200847 5173022 5620924 8401694 9836617 10346044 13802783 16803388 18105577 19673234 27605566 36211154 39346468 55211132 64212947 72422308 96619481 128425894 193238962 256851788 386477924 449490629 898981258 1476897781 1797962516 2953795562 5907591124 10338284467 20676568934 41353137868