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149646244848 = 24337673125201
BaseRepresentation
bin1000101101011110011…
…1000111101111110000
3112022021002210220000220
42023113213013233300
54422433414313343
6152425130213040
713545242044062
oct2132747075760
9468232726026
10149646244848
1158512449721
1225004284180
131115b1acc99
1473587c7732
153d5ca03183
hex22d79c7bf0

149646244848 has 80 divisors (see below), whose sum is σ = 397627529376. Its totient is φ = 48461414400.

The previous prime is 149646244837. The next prime is 149646244849. The reversal of 149646244848 is 848442646941.

It is a super-3 number, since 3×1496462448483 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149646244791 and 149646244800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149646244849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132648 + ... + 1257848.

Almost surely, 2149646244848 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 149646244848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198813764688).

149646244848 is an abundant number, since it is smaller than the sum of its proper divisors (247981284528).

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

149646244848 is a wasteful number, since it uses less digits than its factorization.

149646244848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125922 (or 125916 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 149646244848 in words is "one hundred forty-nine billion, six hundred forty-six million, two hundred forty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 673 888 1346 1776 2019 2692 4038 5384 8076 10768 16152 24901 32304 49802 74703 99604 125201 149406 199208 250402 298812 375603 398416 500804 597624 751206 1001608 1195248 1502412 2003216 3004824 4632437 6009648 9264874 13897311 18529748 27794622 37059496 55589244 74118992 84260273 111178488 168520546 222356976 252780819 337041092 505561638 674082184 1011123276 1348164368 2022246552 3117630101 4044493104 6235260202 9352890303 12470520404 18705780606 24941040808 37411561212 49882081616 74823122424 149646244848