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5940355968 = 27341733703
BaseRepresentation
bin1011000100001001…
…01010001110000000
3120022222211100110000
411202010222032000
544131212342333
62421242240000
7300131123031
oct54204521600
916288740400
105940355968
1125791a33a8
1211994b6000
13738914b41
14404d24a88
1524b7a5713
hex16212a380

5940355968 has 160 divisors (see below), whose sum is σ = 18718864560. Its totient is φ = 1863585792.

The previous prime is 5940355937. The next prime is 5940355973. The reversal of 5940355968 is 8695530495.

It is a happy number.

5940355968 is a `hidden beast` number, since 5 + 9 + 40 + 3 + 5 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159405 + ... + 193107.

Almost surely, 25940355968 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 5940355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359432280).

5940355968 is an abundant number, since it is smaller than the sum of its proper divisors (12778508592).

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

5940355968 is a wasteful number, since it uses less digits than its factorization.

5940355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33746 (or 33725 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 5940355968 is about 77073.7047766617. The cubic root of 5940355968 is about 1811.0793972770.

The spelling of 5940355968 in words is "five billion, nine hundred forty million, three hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 33703 44064 58752 67406 88128 101109 134812 176256 202218 269624 303327 404436 539248 572951 606654 808872 909981 1078496 1145902 1213308 1617744 1718853 1819962 2156992 2291804 2426616 2729943 3235488 3437706 3639924 4313984 4583608 4853232 5156559 5459886 6470976 6875412 7279848 9167216 9706464 10313118 10919772 12941952 13750824 14559696 15469677 18334432 19412928 20626236 21839544 27501648 29119392 30939354 36668864 38825856 41252472 43679088 46409031 55003296 58238784 61878708 73337728 82504944 87358176 92818062 110006592 116477568 123757416 165009888 174716352 185636124 220013184 247514832 330019776 349432704 371272248 495029664 660039552 742544496 990059328 1485088992 1980118656 2970177984 5940355968