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195450001464 = 233371312337211
BaseRepresentation
bin1011011000000110111…
…0100101100000111000
3200200111020122210220010
42312001232211200320
511200240200021324
6225442151501520
720056301413104
oct2660156454070
9620436583803
10195450001464
1175987480a33
1231a679878a0
131557a78ab53
149661abc904
15513dcab829
hex2d81ba5838

195450001464 has 128 divisors (see below), whose sum is σ = 507902503680. Its totient is φ = 62626636800.

The previous prime is 195450001459. The next prime is 195450001543. The reversal of 195450001464 is 464100054591.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 27100819 + ... + 27108029.

It is an arithmetic number, because the mean of its divisors is an integer number (3967988310).

Almost surely, 2195450001464 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 195450001464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253951251840).

195450001464 is an abundant number, since it is smaller than the sum of its proper divisors (312452502216).

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

195450001464 is a wasteful number, since it uses less digits than its factorization.

195450001464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 195450001464 in words is "one hundred ninety-five billion, four hundred fifty million, one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 131 148 222 233 262 296 393 444 466 524 699 786 888 932 1048 1398 1572 1864 2796 3144 4847 5592 7211 8621 9694 14422 14541 17242 19388 21633 25863 28844 29082 30523 34484 38776 43266 51726 57688 58164 61046 68968 86532 91569 103452 116328 122092 173064 183138 206904 244184 266807 366276 533614 732552 800421 944641 1067228 1129351 1600842 1680163 1889282 2134456 2258702 2833923 3201684 3360326 3388053 3778564 4517404 5040489 5667846 6403368 6720652 6776106 7557128 9034808 10080978 11335692 13441304 13552212 20161956 22671384 27104424 34951717 40323912 62166031 69903434 104855151 124332062 139806868 186498093 209710302 220101353 248664124 279613736 372996186 419420604 440202706 497328248 660304059 745992372 838841208 880405412 1320608118 1491984744 1760810824 2641216236 5282432472 8143750061 16287500122 24431250183 32575000244 48862500366 65150000488 97725000732 195450001464