Search a number
-
+
150079611136 = 2871315494159
BaseRepresentation
bin1000101111000101110…
…0010010000100000000
3112100101022021011211011
42023301130102010000
54424330340024021
6152540130530304
713562053434460
oct2136134220400
9470338234734
10150079611136
1158715034184
1225105436994
13111c9c04840
14739a195ba0
153d85aa7de1
hex22f1712100

150079611136 has 144 divisors (see below), whose sum is σ = 369031936000. Its totient is φ = 59319558144.

The previous prime is 150079611133. The next prime is 150079611173. The reversal of 150079611136 is 631116970051.

It is not an unprimeable number, because it can be changed into a prime (150079611133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36083425 + ... + 36087583.

Almost surely, 2150079611136 is an apocalyptic number.

150079611136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150079611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184515968000).

150079611136 is an abundant number, since it is smaller than the sum of its proper divisors (218952324864).

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

150079611136 is a wasteful number, since it uses less digits than its factorization.

150079611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 150079611136 in words is "one hundred fifty billion, seventy-nine million, six hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1549 1664 1792 2912 3098 3328 4159 5824 6196 8318 10843 11648 12392 16636 20137 21686 23296 24784 29113 33272 40274 43372 49568 54067 58226 66544 80548 86744 99136 108134 116452 133088 140959 161096 173488 198272 216268 232904 266176 281918 322192 346976 378469 396544 432536 465808 532352 563836 644384 693952 756938 865072 931616 1064704 1127672 1288768 1387904 1513876 1730144 1863232 2255344 2577536 2775808 3027752 3460288 3726464 4510688 5155072 6055504 6442291 6920576 7452928 9021376 12111008 12884582 13841152 18042752 24222016 25769164 36085504 45096037 48444032 51538328 83749783 90192074 96888064 103076656 167499566 180384148 206153312 334999132 360768296 412306624 586248481 669998264 721536592 824613248 1172496962 1339996528 1443073184 1649226496 2344993924 2679993056 2886146368 4689987848 5359986112 5772292736 9379975696 10719972224 11544585472 18759951392 21439944448 37519902784 75039805568 150079611136