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149220132336 = 24341131337651
BaseRepresentation
bin1000101011111000110…
…1101000010111110000
3112021011102000010120000
42022332031220113300
54421100323213321
6152314545150000
713531546124412
oct2127615502760
9467142003500
10149220132336
1158313969020
1224b0562b300
13110c0b27cc2
147317d869b2
153d353d2826
hex22be3685f0

149220132336 has 200 divisors, whose sum is σ = 486348538368. Its totient is φ = 43759440000.

The previous prime is 149220132329. The next prime is 149220132337. The reversal of 149220132336 is 633231022941.

149220132336 is a `hidden beast` number, since 1 + 4 + 92 + 201 + 32 + 336 = 666.

149220132336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 149220132336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149220132337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273111 + ... + 610761.

Almost surely, 2149220132336 is an apocalyptic number.

149220132336 is a gapful number since it is divisible by the number (16) 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 149220132336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243174269184).

149220132336 is an abundant number, since it is smaller than the sum of its proper divisors (337128406032).

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

149220132336 is a wasteful number, since it uses less digits than its factorization.

149220132336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337713 (or 337698 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 149220132336 in words is "one hundred forty-nine billion, two hundred twenty million, one hundred thirty-two thousand, three hundred thirty-six".