Search a number
-
+
166439962673920 = 2851310002401603
BaseRepresentation
bin100101110110000001010010…
…110110100000001100000000
3210211022111122011122010220001
4211312001102312200030000
5133303423020421031140
61345553244023125344
750025614301623455
oct4566012266401400
9724274564563801
10166439962673920
114903a878937471
121680121a8a3854
1371b42b4aa6370
142d15a46b4d82c
1514397432b5e9a
hex976052da0300

166439962673920 has 72 divisors (see below), whose sum is σ = 429343086450096. Its totient is φ = 61454755442688.

The previous prime is 166439962673891. The next prime is 166439962673927. The reversal of 166439962673920 is 29376269934661.

It is a super-2 number, since 2×1664399626739202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166439962673927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5001184162 + ... + 5001217441.

It is an arithmetic number, because the mean of its divisors is an integer number (5963098422918).

Almost surely, 2166439962673920 is an apocalyptic number.

166439962673920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166439962673920 is an abundant number, since it is smaller than the sum of its proper divisors (262903123776176).

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

166439962673920 is a wasteful number, since it uses less digits than its factorization.

166439962673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002401637 (or 10002401623 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 73.

The spelling of 166439962673920 in words is "one hundred sixty-six trillion, four hundred thirty-nine billion, nine hundred sixty-two million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 10002401603 20004803206 40009606412 50012008015 80019212824 100024016030 130031220839 160038425648 200048032060 260062441678 320076851296 400096064120 520124883356 640153702592 650156104195 800192128240 1040249766712 1280307405184 1300312208390 1600384256480 2080499533424 2560614810368 2600624416780 3200768512960 4160999066848 5201248833560 6401537025920 8321998133696 10402497667120 12803074051840 16643996267392 20804995334240 33287992534784 41609990668480 83219981336960 166439962673920