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41843932650 = 232521352113729
BaseRepresentation
bin100110111110000101…
…111011110111101010
311000000011202000120100
4212332011323313222
51141144021321100
631120044410230
73010634362512
oct467605736752
9130004660510
1041843932650
1116822899a23
128139546976
133c3b0b5180
14204d43c842
15114d81c400
hex9be17bdea

41843932650 has 144 divisors (see below), whose sum is σ = 121309657560. Its totient is φ = 10279526400.

The previous prime is 41843932631. The next prime is 41843932667. The reversal of 41843932650 is 5623934814.

It can be written as a sum of positive squares in 12 ways, for example, as 617472801 + 41226459849 = 24849^2 + 203043^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41843932596 and 41843932605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3040986 + ... + 3054714.

Almost surely, 241843932650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41843932650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60654828780).

41843932650 is an abundant number, since it is smaller than the sum of its proper divisors (79465724910).

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

41843932650 is a wasteful number, since it uses less digits than its factorization.

41843932650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 41843932650 in words is "forty-one billion, eight hundred forty-three million, nine hundred thirty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 521 585 650 975 1042 1170 1563 1950 2605 2925 3126 4689 5210 5850 6773 7815 9378 13025 13546 13729 15630 20319 23445 26050 27458 33865 39075 40638 41187 46890 60957 67730 68645 78150 82374 101595 117225 121914 123561 137290 169325 178477 203190 205935 234450 247122 304785 338650 343225 356954 411870 507975 535431 609570 617805 686450 892385 1015950 1029675 1070862 1235610 1523925 1606293 1784770 2059350 2677155 3047850 3089025 3212586 4461925 5354310 6178050 7152809 8031465 8923850 13385775 14305618 16062930 21458427 26771550 35764045 40157325 42916854 64375281 71528090 80314650 92986517 107292135 128750562 178820225 185973034 214584270 278959551 321876405 357640450 464932585 536460675 557919102 643752810 836878653 929865170 1072921350 1394797755 1609382025 1673757306 2324662925 2789595510 3218764050 4184393265 4649325850 6973988775 8368786530 13947977550 20921966325 41843932650