Search a number
-
+
246166670120 = 235717379136453
BaseRepresentation
bin1110010101000010101…
…1010100101100101000
3212112101210000112002112
43211100223110230220
513013122131420440
6305030514021452
723533145112620
oct3452053245450
9775353015075
10246166670120
1195442738828
123b860877888
131a2a0b54c67
14bcb3685880
15660b517965
hex3950ad4b28

246166670120 has 128 divisors (see below), whose sum is σ = 672008659200. Its totient is φ = 79225122816.

The previous prime is 246166670111. The next prime is 246166670149. The reversal of 246166670120 is 21076661642.

It is a happy 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, 1735814 + ... + 1872266.

It is an arithmetic number, because the mean of its divisors is an integer number (5250067650).

Almost surely, 2246166670120 is an apocalyptic number.

246166670120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246166670120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336004329600).

246166670120 is an abundant number, since it is smaller than the sum of its proper divisors (425841989080).

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

246166670120 is a wasteful number, since it uses less digits than its factorization.

246166670120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136867 (or 136863 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 246166670120 in words is "two hundred forty-six billion, one hundred sixty-six million, six hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 379 476 595 680 758 952 1190 1516 1895 2380 2653 3032 3790 4760 5306 6443 7580 10612 12886 13265 15160 21224 25772 26530 32215 45101 51544 53060 64430 90202 106120 128860 136453 180404 225505 257720 272906 360808 451010 545812 682265 902020 955171 1091624 1364530 1804040 1910342 2319701 2729060 3820684 4639402 4775855 5458120 7641368 9278804 9551710 11598505 16237907 18557608 19103420 23197010 32475814 38206840 46394020 51715687 64951628 81189535 92788040 103431374 129903256 162379070 206862748 258578435 324758140 362009809 413725496 517156870 649516280 724019618 879166679 1034313740 1448039236 1758333358 1810049045 2068627480 2896078472 3516666716 3620098090 4395833395 6154166753 7033333432 7240196180 8791666790 12308333506 14480392360 17583333580 24616667012 30770833765 35166667160 49233334024 61541667530 123083335060 246166670120