Search a number
-
+
148829620212 = 223372132163347
BaseRepresentation
bin1000101010011011101…
…1111100011111110100
3112020011012012001122000
42022212323330133310
54414300340321322
6152212115135300
713516064620200
oct2124673743764
9466135161560
10148829620212
1158133493529
1224a168a4530
131105ac59140
1472bc171b00
153d10e953ac
hex22a6efc7f4

148829620212 has 144 divisors (see below), whose sum is σ = 483378477120. Its totient is φ = 39251749824.

The previous prime is 148829620211. The next prime is 148829620229. The reversal of 148829620212 is 212026928841.

148829620212 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 2 + 9 + 620 + 2 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148829620211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012878 + ... + 1150469.

It is an arithmetic number, because the mean of its divisors is an integer number (3356794980).

Almost surely, 2148829620212 is an apocalyptic number.

148829620212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148829620212 is an abundant number, since it is smaller than the sum of its proper divisors (334548856908).

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

148829620212 is a wasteful number, since it uses less digits than its factorization.

148829620212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163387 (or 2163372 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 148829620212 in words is "one hundred forty-eight billion, eight hundred twenty-nine million, six hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 2163347 4326694 6490041 8653388 12980082 15143429 19470123 25960164 28123511 30286858 38940246 45430287 56247022 58410369 60573716 77880492 84370533 90860574 106004003 112494044 116820738 136290861 168741066 181721148 196864577 212008006 233641476 253111599 272581722 318012009 337482132 393729154 408872583 424016012 506223198 545163444 590593731 636024018 759334797 787458308 817745166 954036027 1012446396 1181187462 1272048036 1378052039 1518669594 1635490332 1771781193 1908072054 2362374924 2756104078 2862108081 3037339188 3543562386 3816144108 4134156117 5315343579 5512208156 5724216162 7087124772 8268312234 10630687158 11448432324 12402468351 16536624468 21261374316 24804936702 37207405053 49609873404 74414810106 148829620212