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15233034634112 = 271913737732161
BaseRepresentation
bin1101110110101011011110…
…0111100100001110000000
31222221021010101010100112002
43131222313213210032000
53444034223331242422
652221543130323132
73131356540664201
oct335526747441600
958837111110462
1015233034634112
114943325a21289
1218603205894a8
13866613523619
143a93d60615a8
151b63a5d48692
hexddab79e4380

15233034634112 has 128 divisors (see below), whose sum is σ = 30641474603520. Its totient is φ = 7543060070400.

The previous prime is 15233034634091. The next prime is 15233034634171. The reversal of 15233034634112 is 21143643033251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7049066312 + ... + 7049068472.

It is an arithmetic number, because the mean of its divisors is an integer number (239386520340).

Almost surely, 215233034634112 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 15233034634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320737301760).

15233034634112 is an abundant number, since it is smaller than the sum of its proper divisors (15408439969408).

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

15233034634112 is a wasteful number, since it uses less digits than its factorization.

15233034634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 15233034634112 its reverse (21143643033251), we get a palindrome (36376677667363).

The spelling of 15233034634112 in words is "fifteen trillion, two hundred thirty-three billion, thirty-four million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 191 373 382 746 764 773 1492 1528 1546 2161 2984 3056 3092 4322 5968 6112 6184 8644 11936 12224 12368 17288 23872 24448 24736 34576 47744 49472 69152 71243 98944 138304 142486 147643 276608 284972 288329 295286 412751 569944 576658 590572 806053 825502 1139888 1153316 1181144 1612106 1651004 1670453 2279776 2306632 2362288 3224212 3302008 3340906 4559552 4613264 4724576 6448424 6604016 6681812 9119104 9226528 9449152 12896848 13208032 13363624 18453056 18898304 25793696 26416064 26727248 36906112 51587392 52832128 53454496 55070839 103174784 106908992 110141678 153956123 213817984 220283356 307912246 319056523 440566712 615824492 623078969 638113046 881133424 1231648984 1246157938 1276226092 1762266848 2463297968 2492315876 2552452184 3524533696 4926595936 4984631752 5104904368 7049067392 9853191872 9969263504 10209808736 19706383744 19938527008 20419617472 39877054016 40839234944 79754108032 119008083079 238016166158 476032332316 952064664632 1904129329264 3808258658528 7616517317056 15233034634112