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150111368004 = 2231319222311953
BaseRepresentation
bin1000101111001101010…
…1011011001101000100
3112100110112000121001110
42023303111123031010
54424412002234004
6152543223325020
713562620401213
oct2136325331504
9470415017043
10150111368004
1158730a54624
1225113bb0770
13112036733a0
1473a04a107a
153d8877c589
hex22f355b344

150111368004 has 144 divisors (see below), whose sum is σ = 399919252992. Its totient is φ = 43557295104.

The previous prime is 150111368003. The next prime is 150111368051. The reversal of 150111368004 is 400863111051.

150111368004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150111368003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12552492 + ... + 12564444.

Almost surely, 2150111368004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150111368004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199959626496).

150111368004 is an abundant number, since it is smaller than the sum of its proper divisors (249807884988).

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

150111368004 is a wasteful number, since it uses less digits than its factorization.

150111368004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 150111368004 its reverse (400863111051), we get a palindrome (550974479055).

The spelling of 150111368004 in words is "one hundred fifty billion, one hundred eleven million, three hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 223 228 247 361 446 494 669 722 741 892 988 1083 1338 1444 1482 2166 2676 2899 2964 4237 4332 4693 5798 8474 8697 9386 11596 11953 12711 14079 16948 17394 18772 23906 25422 28158 34788 35859 47812 50844 55081 56316 71718 80503 110162 143436 155389 161006 165243 220324 227107 241509 310778 322012 330486 454214 466167 483018 621556 660972 681321 908428 932334 966036 1046539 1362642 1864668 2093078 2665519 2725284 2952391 3139617 4186156 4315033 5331038 5904782 6279234 7996557 8630066 8857173 10662076 11809564 12558468 12945099 15993114 17260132 17714346 25890198 31986228 34651747 35428692 50644861 51780396 56095429 69303494 101289722 103955241 112190858 138606988 151934583 168286287 202579444 207910482 224381716 303869166 336572574 415820964 607738332 658383193 673145148 962252359 1316766386 1924504718 1975149579 2633532772 2886757077 3849009436 3950299158 5773514154 7900598316 11547028308 12509280667 25018561334 37527842001 50037122668 75055684002 150111368004