Search a number
-
+
149330922552 = 23327242327359
BaseRepresentation
bin1000101100010011010…
…0010000110000111000
3112021110010110212011100
42023010310100300320
54421312204010202
6152333543531400
713534362620100
oct2130464206070
9467403425140
10149330922552
115837045a389
1224b36759b60
131110aa78c46
147328986200
153d3eeb941c
hex22c4d10c38

149330922552 has 72 divisors (see below), whose sum is σ = 470468606400. Its totient is φ = 42665976864.

The previous prime is 149330922539. The next prime is 149330922563. The reversal of 149330922552 is 255229033941.

149330922552 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 3 + 0 + 92 + 2 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 149330922498 and 149330922507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21160152 + ... + 21167207.

It is an arithmetic number, because the mean of its divisors is an integer number (6534286200).

Almost surely, 2149330922552 is an apocalyptic number.

149330922552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149330922552 is an abundant number, since it is smaller than the sum of its proper divisors (321137683848).

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

149330922552 is a wasteful number, since it uses less digits than its factorization.

149330922552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42327385 (or 42327371 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 149330922552 in words is "one hundred forty-nine billion, three hundred thirty million, nine hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 42327359 84654718 126982077 169309436 253964154 296291513 338618872 380946231 507928308 592583026 761892462 888874539 1015856616 1185166052 1523784924 1777749078 2074040591 2370332104 2666623617 3047569848 3555498156 4148081182 5333247234 6222121773 7110996312 8296162364 10666494468 12444243546 16592324728 18666365319 21332988936 24888487092 37332730638 49776974184 74665461276 149330922552