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41343495768 = 2334233273827
BaseRepresentation
bin100110100000010000…
…111010111001011000
310221201022002012020000
4212200100322321120
51134132413331033
630554250333000
72662346626041
oct464020727130
9127638065200
1041343495768
1116596364323
128019a2a160
133b8b509283
142002bb18c8
15111e919a13
hex9a043ae58

41343495768 has 80 divisors (see below), whose sum is σ = 116297489880. Its totient is φ = 13721968512.

The previous prime is 41343495727. The next prime is 41343495793. The reversal of 41343495768 is 86759434314.

41343495768 is a `hidden beast` number, since 4 + 1 + 34 + 34 + 9 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14071 + ... + 287897.

Almost surely, 241343495768 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 41343495768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58148744940).

41343495768 is an abundant number, since it is smaller than the sum of its proper divisors (74953994112).

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

41343495768 is a wasteful number, since it uses less digits than its factorization.

41343495768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274078 (or 274065 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 41343495768 in words is "forty-one billion, three hundred forty-three million, four hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 324 466 648 699 932 1398 1864 2097 2796 4194 5592 6291 8388 12582 16776 18873 25164 37746 50328 75492 150984 273827 547654 821481 1095308 1642962 2190616 2464443 3285924 4928886 6571848 7393329 9857772 14786658 19715544 22179987 29573316 44359974 59146632 63801691 88719948 127603382 177439896 191405073 255206764 382810146 510413528 574215219 765620292 1148430438 1531240584 1722645657 2296860876 3445291314 4593721752 5167936971 6890582628 10335873942 13781165256 20671747884 41343495768