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15165300000006 = 23413137523100501
BaseRepresentation
bin1101110010101111001001…
…0100011100010100000110
31222200210021211110102110000
43130223302110130110012
53441432013300000011
652130502002142130
73123441162046632
oct334536224342406
958623254412400
1015165300000006
114917627545132
12184b178351946
1386010a515a80
143a600c25ddc2
151b473e567356
hexdcaf251c506

15165300000006 has 160 divisors (see below), whose sum is σ = 36933438171168. Its totient is φ = 4623283008000.

The previous prime is 15165299999999. The next prime is 15165300000023. The reversal of 15165300000006 is 60000000356151.

It is a happy number.

15165300000006 is a `hidden beast` number, since 1 + 5 + 1 + 653 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150846756 + ... + 150947256.

Almost surely, 215165300000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15165300000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466719085584).

15165300000006 is an abundant number, since it is smaller than the sum of its proper divisors (21768138171162).

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

15165300000006 is a wasteful number, since it uses less digits than its factorization.

15165300000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101188 (or 101179 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 15165300000006 its reverse (60000000356151), we get a palindrome (75165300356157).

The spelling of 15165300000006 in words is "fifteen trillion, one hundred sixty-five billion, three hundred million, six", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 137 162 234 274 351 411 523 702 822 1046 1053 1233 1569 1781 2106 2466 3138 3562 3699 4707 5343 6799 7398 9414 10686 11097 13598 14121 16029 20397 22194 28242 32058 40794 42363 48087 61191 71651 84726 96174 100501 122382 143302 144261 183573 201002 214953 288522 301503 367146 429906 550719 603006 644859 904509 931463 1101438 1289718 1306513 1809018 1862926 1934577 2613026 2713527 2794389 3869154 3919539 5427054 5588778 5803731 7839078 8140581 8383167 11607462 11758617 13768637 16281162 16766334 23517234 25149501 27537274 35275851 41305911 50299002 52562023 70551702 75448503 82611822 105124046 105827553 123917733 150897006 157686069 178992281 211655106 247835466 315372138 357984562 371753199 473058207 536976843 683306299 743506398 946116414 1073953686 1115259597 1366612598 1419174621 1610930529 2049918897 2230519194 2838349242 3221861058 4099837794 4257523863 4832791587 6149756691 7200997151 8515047726 9665583174 12299513382 14401994302 14498374761 18449270073 21602991453 28996749522 36898540146 43205982906 55347810219 64808974359 93612962963 110695620438 129617948718 187225925926 194426923077 280838888889 388853846154 561677777778 583280769231 842516666667 1166561538462 1685033333334 2527550000001 5055100000002 7582650000003 15165300000006