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152703000468 = 22342089225613
BaseRepresentation
bin1000111000110111001…
…1101101111110010100
3112121011010122011110000
42032031303231332110
510000213432003333
6154052323131300
714014060042044
oct2161563557624
9477133564400
10152703000468
1159840954437
1225717b13b30
1311527576815
147568765724
153e8b058713
hex238dcedf94

152703000468 has 60 divisors (see below), whose sum is σ = 399388671220. Its totient is φ = 50876408448.

The previous prime is 152703000431. The next prime is 152703000469. The reversal of 152703000468 is 864000307251.

It can be written as a sum of positive squares in 2 ways, for example, as 83629699344 + 69073301124 = 289188^2 + 262818^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152703000469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564030 + ... + 789642.

Almost surely, 2152703000468 is an apocalyptic number.

152703000468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152703000468 is an abundant number, since it is smaller than the sum of its proper divisors (246685670752).

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

152703000468 is a wasteful number, since it uses less digits than its factorization.

152703000468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227718 (or 227707 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 152703000468 in words is "one hundred fifty-two billion, seven hundred three million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2089 4178 6267 8356 12534 18801 25068 37602 56403 75204 112806 169209 225612 225613 338418 451226 676836 676839 902452 1353678 2030517 2707356 4061034 6091551 8122068 12183102 18274653 24366204 36549306 73098612 471305557 942611114 1413916671 1885222228 2827833342 4241750013 5655666684 8483500026 12725250039 16967000052 25450500078 38175750117 50901000156 76351500234 152703000468