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152132513000 = 23531311702501
BaseRepresentation
bin1000110110101111001…
…1011110110011101000
3112112200101011101202112
42031223303132303220
54443031410404000
6153515543421452
713663662011216
oct2155363366350
9475611141675
10152132513000
1159578923796
1225598a54888
1311466312080
147512aa1cb6
153e55e1a235
hex236bcdece8

152132513000 has 64 divisors (see below), whose sum is σ = 383373965520. Its totient is φ = 56172000000.

The previous prime is 152132512999. The next prime is 152132513053. The reversal of 152132513000 is 315231251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7882953796 + 144249559204 = 88786^2 + 379802^2 .

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, 5838251 + ... + 5864250.

Almost surely, 2152132513000 is an apocalyptic number.

152132513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152132513000 is an abundant number, since it is smaller than the sum of its proper divisors (231241452520).

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

152132513000 is a wasteful number, since it uses less digits than its factorization.

152132513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702535 (or 11702521 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 152132513000 its reverse (315231251), we get a palindrome (152447744251).

The spelling of 152132513000 in words is "one hundred fifty-two billion, one hundred thirty-two million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 11702501 23405002 46810004 58512505 93620008 117025010 152132513 234050020 292562525 304265026 468100040 585125050 608530052 760662565 1170250100 1217060104 1462812625 1521325130 2340500200 2925625250 3042650260 3803312825 5851250500 6085300520 7606625650 11702501000 15213251300 19016564125 30426502600 38033128250 76066256500 152132513000