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148561874192 = 24172292414597
BaseRepresentation
bin1000101001011011111…
…0100100110100010000
3112012110112101011010202
42022112332210310100
54413223314433232
6152125352314332
713506334044434
oct2122676446420
9465415334122
10148561874192
1158006339a26
12249610a29a8
1311017642244
1472947969c4
153ce7708162
hex2296fa4d10

148561874192 has 120 divisors (see below), whose sum is σ = 317691545160. Its totient is φ = 67206021120.

The previous prime is 148561874159. The next prime is 148561874231. The reversal of 148561874192 is 291478165841.

It can be written as a sum of positive squares in 12 ways, for example, as 6435890176 + 142125984016 = 80224^2 + 376996^2 .

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 23 ways as a sum of consecutive naturals, for example, 32314838 + ... + 32319434.

It is an arithmetic number, because the mean of its divisors is an integer number (2647429543).

Almost surely, 2148561874192 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 148561874192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158845772580).

148561874192 is an abundant number, since it is smaller than the sum of its proper divisors (169129670968).

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

148561874192 is a wasteful number, since it uses less digits than its factorization.

148561874192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4886 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 56.

The spelling of 148561874192 in words is "one hundred forty-eight billion, five hundred sixty-one million, eight hundred seventy-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 241 272 289 464 482 493 578 964 986 1156 1928 1972 2312 3856 3944 4097 4597 4624 6989 7888 8194 8381 9194 13978 16388 16762 18388 27956 32776 33524 36776 55912 65552 67048 69649 73552 78149 111824 118813 133313 134096 139298 156298 237626 266626 278596 312596 475252 533252 557192 625192 950504 1066504 1107877 1114384 1250384 1328533 1901008 2019821 2133008 2215754 2266321 2657066 4039642 4431508 4532642 5314132 8079284 8863016 9065284 10628264 16158568 17726032 18130568 18833909 21256528 32128433 32317136 36261136 37667818 38527457 64256866 75335636 77054914 128513732 150671272 154109828 257027464 301342544 308219656 320176453 514054928 546183361 616439312 640352906 1092366722 1280705812 2184733444 2561411624 4369466888 5122823248 8738933776 9285117137 18570234274 37140468548 74280937096 148561874192