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149345527632 = 243719531932287
BaseRepresentation
bin1000101100010110101…
…1111110011101010000
3112021111010221212120020
42023011223332131100
54421324423341012
6152335224543440
713534631016360
oct2130553763520
9467433855506
10149345527632
11583787253a4
1224b3b621b80
1311110ac08c2
14732a8a89a0
153d41401a8c
hex22c5afe750

149345527632 has 320 divisors, whose sum is σ = 475546705920. Its totient is φ = 39438876672.

The previous prime is 149345527619. The next prime is 149345527633. The reversal of 149345527632 is 236725543941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149345527633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65300793 + ... + 65303079.

It is an arithmetic number, because the mean of its divisors is an integer number (1486083456).

Almost surely, 2149345527632 is an apocalyptic number.

149345527632 is a gapful number since it is divisible by the number (12) 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 149345527632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237773352960).

149345527632 is an abundant number, since it is smaller than the sum of its proper divisors (326201178288).

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

149345527632 is a wasteful number, since it uses less digits than its factorization.

149345527632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2564 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 149345527632 in words is "one hundred forty-nine billion, three hundred forty-five million, five hundred twenty-seven thousand, six hundred thirty-two".