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42983117151966 = 23217893297147869
BaseRepresentation
bin10011100010111110010010…
…11011011101111011011110
312122012010221100010202010200
421301133021123131323132
521113213410442330331
6231230101005444330
712024266466336405
oct1161371133357336
9178163840122120
1042983117151966
1112772046079182
1249a24bab706a6
131aca3a1471a54
14a885730aa63c
154e81521ca5e6
hex2717c96ddede

42983117151966 has 96 divisors (see below), whose sum is σ = 99721393855200. Its totient is φ = 13332700846080.

The previous prime is 42983117151941. The next prime is 42983117152009. The reversal of 42983117151966 is 66915171138924.

42983117151966 is a `hidden beast` number, since 4 + 29 + 8 + 31 + 1 + 7 + 1 + 519 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897908280 + ... + 897956148.

It is an arithmetic number, because the mean of its divisors is an integer number (1038764519325).

Almost surely, 242983117151966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42983117151966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49860696927600).

42983117151966 is an abundant number, since it is smaller than the sum of its proper divisors (56738276703234).

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

42983117151966 is a wasteful number, since it uses less digits than its factorization.

42983117151966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80954 (or 80951 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 42983117151966 in words is "forty-two trillion, nine hundred eighty-three billion, one hundred seventeen million, one hundred fifty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 4539 9078 13617 27234 32971 47869 65942 95738 98913 143607 197826 287214 296739 430821 560507 593478 813773 861642 1121014 1627546 1681521 2441319 2934419 3363042 4260341 4882638 5044563 5868838 7323957 8520682 8803257 10089126 12781023 14647914 17606514 25562046 26409771 38343069 49885123 52819542 72425797 76686138 99770246 144851594 149655369 217277391 299310738 434554782 448966107 651832173 897932214 1303664346 1578288799 3156577598 4734866397 9469732794 14204599191 26830909583 28409198382 53661819166 80492728749 140467703111 160985457498 241478186247 280935406222 421403109333 482956372494 842806218666 1264209327999 2387950952887 2528418655998 4775901905774 7163852858661 14327705717322 21491558575983 42983117151966