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150233102016 = 2633203244291
BaseRepresentation
bin1000101111101010010…
…1110011011011000000
3112100210000002022201120
42023322211303123000
54430134133231031
6153003252432240
713565626203654
oct2137245633300
9470700068646
10150233102016
1158793740148
1225148918680
131122295664a
1473b270ca64
153d942c6a96
hex22fa9736c0

150233102016 has 56 divisors (see below), whose sum is σ = 397617476544. Its totient is φ = 50061861120.

The previous prime is 150233102003. The next prime is 150233102029. The reversal of 150233102016 is 610201332051.

150233102016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150233102003) and next prime (150233102029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492831 + ... + 737121.

Almost surely, 2150233102016 is an apocalyptic number.

150233102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150233102016 is an abundant number, since it is smaller than the sum of its proper divisors (247384374528).

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

150233102016 is a wasteful number, since it uses less digits than its factorization.

150233102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247509 (or 247499 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 150233102016 its reverse (610201332051), we get a palindrome (760434434067).

The spelling of 150233102016 in words is "one hundred fifty billion, two hundred thirty-three million, one hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3203 6406 9609 12812 19218 25624 38436 51248 76872 102496 153744 204992 244291 307488 488582 614976 732873 977164 1465746 1954328 2931492 3908656 5862984 7817312 11725968 15634624 23451936 46903872 782464073 1564928146 2347392219 3129856292 4694784438 6259712584 9389568876 12519425168 18779137752 25038850336 37558275504 50077700672 75116551008 150233102016