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152125005216 = 2532279677219
BaseRepresentation
bin1000110110101101011…
…0110101110110100000
3112112122212000222000110
42031223112311312200
54443023000131331
6153515114451320
713663541131512
oct2155326656640
9475585028013
10152125005216
1159574666008
1225596433b40
13114648b39b2
147511aa9bb2
153e55435946
hex236b5b5da0

152125005216 has 96 divisors (see below), whose sum is σ = 401557685760. Its totient is φ = 50425756416.

The previous prime is 152125005191. The next prime is 152125005269. The reversal of 152125005216 is 612500521251.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21069255 + ... + 21076473.

It is an arithmetic number, because the mean of its divisors is an integer number (4182892560).

Almost surely, 2152125005216 is an apocalyptic number.

152125005216 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 152125005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200778842880).

152125005216 is an abundant number, since it is smaller than the sum of its proper divisors (249432680544).

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

152125005216 is a wasteful number, since it uses less digits than its factorization.

152125005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 152125005216 its reverse (612500521251), we get a palindrome (764625526467).

The spelling of 152125005216 in words is "one hundred fifty-two billion, one hundred twenty-five million, five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 967 1362 1816 1934 2724 2901 3632 3868 5448 5802 7219 7264 7736 10896 11604 14438 15472 21657 21792 23208 28876 30944 43314 46416 57752 86628 92832 115504 173256 219509 231008 346512 439018 658527 693024 878036 1317054 1638713 1756072 2634108 3277426 3512144 4916139 5268216 6554852 6980773 7024288 9832278 10536432 13109704 13961546 19664556 20942319 21072864 26219408 27923092 39329112 41884638 52438816 55846184 78658224 83769276 111692368 157316448 167538552 223384736 335077104 670154208 1584635471 3169270942 4753906413 6338541884 9507812826 12677083768 19015625652 25354167536 38031251304 50708335072 76062502608 152125005216