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41961077046 = 23277926915671
BaseRepresentation
bin100111000101000100…
…110011100100110110
311000022100011120110200
4213011010303210312
51141414013431141
631135431301330
73013556161410
oct470504634466
9130270146420
1041961077046
1116882a30279
12817081a846
133c5944c395
142060c139b0
151158c5bab6
hex9c5133936

41961077046 has 96 divisors (see below), whose sum is σ = 105616742400. Its totient is φ = 11792364480.

The previous prime is 41961077029. The next prime is 41961077071. The reversal of 41961077046 is 64077016914.

It is a super-2 number, since 2×419610770462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41961076992 and 41961077010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669791 + ... + 2685461.

It is an arithmetic number, because the mean of its divisors is an integer number (1100174400).

Almost surely, 241961077046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41961077046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52808371200).

41961077046 is an abundant number, since it is smaller than the sum of its proper divisors (63655665354).

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

41961077046 is a wasteful number, since it uses less digits than its factorization.

41961077046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16031 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41961077046 in words is "forty-one billion, nine hundred sixty-one million, seventy-seven thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 269 474 538 553 711 807 1106 1422 1614 1659 1883 2421 3318 3766 4842 4977 5649 9954 11298 15671 16947 21251 31342 33894 42502 47013 63753 94026 109697 127506 141039 148757 191259 219394 282078 297514 329091 382518 446271 658182 892542 987273 1238009 1338813 1974546 2476018 2677626 3714027 4215499 7428054 8430998 8666063 11142081 12646497 17332126 22284162 25292994 25998189 29508493 37939491 51996378 59016986 75878982 77994567 88525479 155989134 177050958 265576437 333024421 531152874 666048842 999073263 1998146526 2331170947 2997219789 4662341894 5994439578 6993512841 13987025682 20980538523 41961077046