Search a number
-
+
18967482221148 = 22331195031469627
BaseRepresentation
bin1000101000000001101100…
…00010100100001001011100
32111011021101110002202112000
410110000312002210021130
54441230400422034043
6104201312510442300
73665232614506566
oct424006602441134
974137343082460
1018967482221148
11605307826164a
122164037503390
13a7781a13a546
1449806124c336
1522d5c39572d3
hex1140360a425c

18967482221148 has 48 divisors (see below), whose sum is σ = 49175398863360. Its totient is φ = 6322436865072.

The previous prime is 18967482221141. The next prime is 18967482221161. The reversal of 18967482221148 is 84112228476981.

18967482221148 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 7 + 482 + 2 + 2 + 1 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18967482221141) 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, 12171511 + ... + 13641137.

It is an arithmetic number, because the mean of its divisors is an integer number (1024487476320).

Almost surely, 218967482221148 is an apocalyptic number.

18967482221148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18967482221148 is an abundant number, since it is smaller than the sum of its proper divisors (30207916642212).

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

18967482221148 is a wasteful number, since it uses less digits than its factorization.

18967482221148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589143 (or 1589135 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 18967482221148 in words is "eighteen trillion, nine hundred sixty-seven billion, four hundred eighty-two million, two hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 119503 239006 358509 478012 717018 1075527 1434036 1469627 2151054 2939254 3226581 4302108 4408881 5878508 6453162 8817762 12906324 13226643 17635524 26453286 39679929 52906572 79359858 158719716 175624835381 351249670762 526874506143 702499341524 1053749012286 1580623518429 2107498024572 3161247036858 4741870555287 6322494073716 9483741110574 18967482221148