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41652081744 = 24371310789119
BaseRepresentation
bin100110110010101010…
…000101010001010000
310222111210201222121020
4212302222011101100
51140300413103434
631045032355440
73003114565440
oct466252052120
9128453658536
1041652081744
1116734572559
1280a5245b80
133c0a422120
142031b7c120
15113ba72849
hex9b2a85450

41652081744 has 160 divisors (see below), whose sum is σ = 133671444480. Its totient is φ = 10882377216.

The previous prime is 41652081727. The next prime is 41652081767. The reversal of 41652081744 is 44718025614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 41652081696 and 41652081705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422817 + ... + 511935.

It is an arithmetic number, because the mean of its divisors is an integer number (835446528).

Almost surely, 241652081744 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 41652081744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66835722240).

41652081744 is an abundant number, since it is smaller than the sum of its proper divisors (92019362736).

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

41652081744 is a wasteful number, since it uses less digits than its factorization.

41652081744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89257 (or 89251 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 41652081744 in words is "forty-one billion, six hundred fifty-two million, eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 107 112 156 168 182 208 214 273 312 321 336 364 428 546 624 642 728 749 856 1092 1284 1391 1456 1498 1712 2184 2247 2568 2782 2996 4173 4368 4494 5136 5564 5992 8346 8988 9737 11128 11984 16692 17976 19474 22256 29211 33384 35952 38948 58422 66768 77896 89119 116844 155792 178238 233688 267357 356476 467376 534714 623833 712952 1069428 1158547 1247666 1425904 1871499 2138856 2317094 2495332 3475641 3742998 4277712 4634188 4990664 6951282 7485996 8109829 9268376 9535733 9981328 13902564 14971992 16219658 18536752 19071466 24329487 27805128 28607199 29943984 32439316 38142932 48658974 55610256 57214398 64878632 66750131 76285864 97317948 114428796 123964529 129757264 133500262 152571728 194635896 200250393 228857592 247929058 267000524 371893587 389271792 400500786 457715184 495858116 534001048 743787174 801001572 867751703 991716232 1068002096 1487574348 1602003144 1735503406 1983432464 2603255109 2975148696 3204006288 3471006812 5206510218 5950297392 6942013624 10413020436 13884027248 20826040872 41652081744