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149184427536 = 2434107292
BaseRepresentation
bin1000101011110000010…
…1011011011000010000
3112021001220211010210000
42022330011123120100
54421012203140121
6152311232010000
713530633465654
oct2127405333020
9467056733700
10149184427536
11582a57a1521
1224ab5690900
13110b66064c1
147313330a64
153d321cd526
hex22bc15b610

149184427536 has 75 divisors (see below), whose sum is σ = 431823263421. Its totient is φ = 49723507584.

The previous prime is 149184427517. The next prime is 149184427543. The reversal of 149184427536 is 635724481941.

The square root of 149184427536 is 386244.

It is a perfect power (a square), and thus also a powerful number.

149184427536 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 84 + 4 + 27 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111393067536 + 37791360000 = 333756^2 + 194400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13899420 + ... + 13910148.

Almost surely, 2149184427536 is an apocalyptic number.

149184427536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149184427536 is the 386244-th square number.

It is an amenable number.

149184427536 is an abundant number, since it is smaller than the sum of its proper divisors (282638835885).

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

149184427536 is an frugal number, since it uses more digits than its factorization.

149184427536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21478 (or 10734 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 149184427536 in words is "one hundred forty-nine billion, one hundred eighty-four million, four hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10729 21458 32187 42916 64374 85832 96561 128748 171664 193122 257496 289683 386244 514992 579366 772488 869049 1158732 1544976 1738098 2317464 3476196 4634928 6952392 13904784 115111441 230222882 345334323 460445764 690668646 920891528 1036002969 1381337292 1841783056 2072005938 2762674584 3108008907 4144011876 5525349168 6216017814 8288023752 9324026721 12432035628 16576047504 18648053442 24864071256 37296106884 49728142512 74592213768 149184427536