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150025535400 = 2335213313741409
BaseRepresentation
bin1000101110111000110…
…1111111111110101000
3112100020112111211212010
42023232031333332220
54424223014113100
6152530515515520
713560526003326
oct2135615777650
9470215454763
10150025535400
115869755a294
12250ab2b8ba0
13111bb950270
147392d1ad16
153d80e75750
hex22ee37ffa8

150025535400 has 768 divisors, whose sum is σ = 545265100800. Its totient is φ = 33841152000.

The previous prime is 150025535399. The next prime is 150025535417. The reversal of 150025535400 is 4535520051.

It is a happy number.

It is a super-3 number, since 3×1500255354003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366810396 + ... + 366810804.

It is an arithmetic number, because the mean of its divisors is an integer number (709980600).

Almost surely, 2150025535400 is an apocalyptic number.

150025535400 is a gapful number since it is divisible by the number (10) 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 150025535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272632550400).

150025535400 is an abundant number, since it is smaller than the sum of its proper divisors (395239565400).

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

150025535400 is a wasteful number, since it uses less digits than its factorization.

150025535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 150025535400 in words is "one hundred fifty billion, twenty-five million, five hundred thirty-five thousand, four hundred".