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146999095296 = 212335333889
BaseRepresentation
bin1000100011100111010…
…1000011000000000000
3112001102121201202111220
42020321311003000000
54402023232022141
6151310324435040
713422526456644
oct2107165030000
9461377652456
10146999095296
1157384180019
12245a5848a80
1310b2893c1c1
147186dd0c24
153c5540c766
hex2239d43000

146999095296 has 104 divisors (see below), whose sum is σ = 393071673840. Its totient is φ = 48859447296.

The previous prime is 146999095283. The next prime is 146999095307. The reversal of 146999095296 is 692590999641.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146999095296.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4320720 + ... + 4354608.

Almost surely, 2146999095296 is an apocalyptic number.

146999095296 is a gapful number since it is divisible by the number (16) 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 146999095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535836920).

146999095296 is an abundant number, since it is smaller than the sum of its proper divisors (246072578544).

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

146999095296 is an equidigital number, since it uses as much as digits as its factorization.

146999095296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34269 (or 34247 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 69.

The spelling of 146999095296 in words is "one hundred forty-six billion, nine hundred ninety-nine million, ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 512 706 768 1024 1059 1412 1536 2048 2118 2824 3072 4096 4236 5648 6144 8472 11296 12288 16944 22592 33888 33889 45184 67776 67778 90368 101667 135552 135556 180736 203334 271104 271112 361472 406668 542208 542224 722944 813336 1084416 1084448 1445888 1626672 2168832 2168896 3253344 4337664 4337792 6506688 8675584 11962817 13013376 17351168 23925634 26026752 34702336 35888451 47851268 52053504 69404672 71776902 95702536 104107008 138809344 143553804 191405072 208214016 287107608 382810144 416428032 574215216 765620288 1148430432 1531240576 2296860864 3062481152 4593721728 6124962304 9187443456 12249924608 18374886912 24499849216 36749773824 48999698432 73499547648 146999095296