Search a number
-
+
138600829332 = 223272392301269
BaseRepresentation
bin1000000100010101000…
…0001101000110010100
3111020202022220122102100
42001011100031012110
54232323303014312
6143401120442100
713004441416350
oct2010520150624
9436668818370
10138600829332
1153864611549
1222a41179330
13100baa43b64
1469cb894460
153912e925dc
hex204540d194

138600829332 has 72 divisors (see below), whose sum is σ = 402077894400. Its totient is φ = 39434528448.

The previous prime is 138600829261. The next prime is 138600829349. The reversal of 138600829332 is 233928006831.

138600829332 is a `hidden beast` number, since 1 + 3 + 8 + 600 + 8 + 2 + 9 + 3 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090407 + ... + 1210862.

It is an arithmetic number, because the mean of its divisors is an integer number (5584415200).

Almost surely, 2138600829332 is an apocalyptic number.

138600829332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138600829332 is an abundant number, since it is smaller than the sum of its proper divisors (263477065068).

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

138600829332 is a wasteful number, since it uses less digits than its factorization.

138600829332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301525 (or 2301520 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 138600829332 in words is "one hundred thirty-eight billion, six hundred million, eight hundred twenty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3346 4302 5019 6692 8604 10038 15057 20076 30114 60228 2301269 4602538 6903807 9205076 13807614 16108883 20711421 27615228 32217766 41422842 48326649 64435532 82845684 96653298 144979947 193306596 289959894 550003291 579919788 1100006582 1650009873 2200013164 3300019746 3850023037 4950029619 6600039492 7700046074 9900059238 11550069111 15400092148 19800118476 23100138222 34650207333 46200276444 69300414666 138600829332