Search a number
-
+
149623066032 = 243111511876669
BaseRepresentation
bin1000101101011000111…
…0101100110110110000
3112022012111012021200020
42023112032230312300
54422412001103112
6152422541323440
713544541035256
oct2132616546660
9468174167606
10149623066032
1158500358080
1224bb8566580
13111564559cb
1473556b25d6
153d5a97548c
hex22d63acdb0

149623066032 has 80 divisors (see below), whose sum is σ = 424457713920. Its totient is φ = 45040032000.

The previous prime is 149623065997. The next prime is 149623066039. The reversal of 149623066032 is 230660326941.

149623066032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149623066039) 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 15 ways as a sum of consecutive naturals, for example, 858607 + ... + 1018062.

It is an arithmetic number, because the mean of its divisors is an integer number (5305721424).

Almost surely, 2149623066032 is an apocalyptic number.

149623066032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149623066032 is an abundant number, since it is smaller than the sum of its proper divisors (274834647888).

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

149623066032 is a wasteful number, since it uses less digits than its factorization.

149623066032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876842 (or 1876836 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 149623066032 in words is "one hundred forty-nine billion, six hundred twenty-three million, sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 906 1208 1661 1812 2416 3322 3624 4983 6644 7248 9966 13288 19932 26576 39864 79728 1876669 3753338 5630007 7506676 11260014 15013352 20643359 22520028 30026704 41286718 45040056 61930077 82573436 90080112 123860154 165146872 247720308 283377019 330293744 495440616 566754038 850131057 990881232 1133508076 1700262114 2267016152 3117147209 3400524228 4534032304 6234294418 6801048456 9351441627 12468588836 13602096912 18702883254 24937177672 37405766508 49874355344 74811533016 149623066032