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149206929408 = 2123271109523
BaseRepresentation
bin1000101011110101101…
…1010001000000000000
3112021010111011100112200
42022331123101000000
54421033433220113
6152313354153200
713531325655045
oct2127533210000
9467114140480
10149206929408
1158307470509
1224b01122800
13110bb184614
14731630b1cc
153d34175873
hex22bd6d1000

149206929408 has 312 divisors, whose sum is σ = 441912968640. Its totient is φ = 48492380160.

The previous prime is 149206929379. The next prime is 149206929409. The reversal of 149206929408 is 804929602941.

149206929408 is a `hidden beast` number, since 1 + 4 + 9 + 206 + 9 + 29 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (149206929409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285290235 + ... + 285290757.

It is an arithmetic number, because the mean of its divisors is an integer number (1416387720).

Almost surely, 2149206929408 is an apocalyptic number.

149206929408 is a gapful number since it is divisible by the number (18) 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 149206929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220956484320).

149206929408 is an abundant number, since it is smaller than the sum of its proper divisors (292706039232).

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

149206929408 is a wasteful number, since it uses less digits than its factorization.

149206929408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 149206929408 in words is "one hundred forty-nine billion, two hundred six million, nine hundred twenty-nine thousand, four hundred eight".