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149526538416 = 24322534340973
BaseRepresentation
bin1000101101000001111…
…0011110100010110000
3112021221202120011200100
42023100132132202300
54422212243212131
6152405212352400
713542256414533
oct2132036364260
9467852504610
10149526538416
1158460918492
1224b90175700
131113c459888
147346946a1a
153d522597e6
hex22d079e8b0

149526538416 has 60 divisors (see below), whose sum is σ = 418493357568. Its totient is φ = 49838996352.

The previous prime is 149526538387. The next prime is 149526538429. The reversal of 149526538416 is 614835625941.

149526538416 is a `hidden beast` number, since 1 + 4 + 95 + 2 + 6 + 538 + 4 + 16 = 666.

149526538416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3628906 + ... + 3669878.

Almost surely, 2149526538416 is an apocalyptic number.

149526538416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149526538416 is an abundant number, since it is smaller than the sum of its proper divisors (268966819152).

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

149526538416 is a wasteful number, since it uses less digits than its factorization.

149526538416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66330 (or 66321 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 149526538416 in words is "one hundred forty-nine billion, five hundred twenty-six million, five hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25343 40973 50686 76029 81946 101372 122919 152058 163892 202744 228087 245838 304116 327784 368757 405488 456174 491676 608232 655568 737514 912348 983352 1216464 1475028 1824696 1966704 2950056 3649392 5900112 1038378739 2076757478 3115136217 4153514956 6230272434 8307029912 9345408651 12460544868 16614059824 18690817302 24921089736 37381634604 49842179472 74763269208 149526538416