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41357269668 = 223111324494129
BaseRepresentation
bin100110100001000101…
…011101101010100100
310221202020222222110110
4212201011131222210
51134144430112133
630555501453020
72662604664141
oct464105355244
9127666888413
1041357269668
11165a3111910
128022571170
133b9131c800
1420049593c8
151120c3ac63
hex9a115daa4

41357269668 has 144 divisors (see below), whose sum is σ = 114275448000. Its totient is φ = 11539906560.

The previous prime is 41357269651. The next prime is 41357269691. The reversal of 41357269668 is 86696275314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10014228 + ... + 10018356.

It is an arithmetic number, because the mean of its divisors is an integer number (793579500).

Almost surely, 241357269668 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 41357269668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57137724000).

41357269668 is an abundant number, since it is smaller than the sum of its proper divisors (72918178332).

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

41357269668 is a wasteful number, since it uses less digits than its factorization.

41357269668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4607 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 41357269668 in words is "forty-one billion, three hundred fifty-seven million, two hundred sixty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 449 507 572 676 858 898 1014 1347 1716 1796 1859 2028 2694 3718 4129 4939 5388 5577 5837 7436 8258 9878 11154 11674 12387 14817 16516 17511 19756 22308 23348 24774 29634 35022 45419 49548 53677 59268 64207 70044 75881 90838 107354 128414 136257 151762 161031 181676 192621 214708 227643 256828 272514 303524 322062 385242 455286 545028 590447 644124 697801 770484 834691 910572 1180894 1395602 1669382 1771341 1853921 2093403 2361788 2504073 2791204 3338764 3542682 3707842 4186806 5008146 5561763 7085364 7415684 7675811 8373612 10016292 11123526 15351622 20393131 22247052 23027433 24100973 30703244 40786262 46054866 48201946 61179393 72302919 81572524 92109732 96403892 122358786 144605838 244717572 265110703 289211676 313312649 530221406 626625298 795332109 939937947 1060442812 1253250596 1590664218 1879875894 3181328436 3446439139 3759751788 6892878278 10339317417 13785756556 20678634834 41357269668