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149603211504 = 243217611735791
BaseRepresentation
bin1000101101010100001…
…0111101100011110000
3112022011002211120101100
42023111002331203300
54422341410232004
6152420552004400
713544210213325
oct2132502754360
9468132746340
10149603211504
11584a012707a
1224bb1990700
13111522c3876
147352bc4b4c
153d58d52739
hex22d50bd8f0

149603211504 has 240 divisors, whose sum is σ = 453259632384. Its totient is φ = 45890150400.

The previous prime is 149603211469. The next prime is 149603211523. The reversal of 149603211504 is 405112306941.

It is a happy number.

149603211504 is a `hidden beast` number, since 1 + 49 + 603 + 2 + 1 + 1 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×1496032115042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25830849 + ... + 25836639.

Almost surely, 2149603211504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149603211504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226629816192).

149603211504 is an abundant number, since it is smaller than the sum of its proper divisors (303656420880).

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

149603211504 is a wasteful number, since it uses less digits than its factorization.

149603211504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 149603211504 in words is "one hundred forty-nine billion, six hundred three million, two hundred eleven thousand, five hundred four".