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153315927128 = 23721336738191
BaseRepresentation
bin1000111011001001010…
…1110110010001011000
3112122201211222001202102
42032302111312101120
510002442334132003
6154233220222532
714035211610200
oct2166225662130
9478654861672
10153315927128
115a0259312a1
122586923aa48
13115c454a110
1475c5d15400
153ec4c7b588
hex23b2576458

153315927128 has 96 divisors (see below), whose sum is σ = 360265973760. Its totient is φ = 60628538880.

The previous prime is 153315927119. The next prime is 153315927131. The reversal of 153315927128 is 821729513351.

It is a super-2 number, since 2×1533159271282 (a number of 23 digits) contains 22 as substring.

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, 18713513 + ... + 18721703.

It is an arithmetic number, because the mean of its divisors is an integer number (3752770560).

Almost surely, 2153315927128 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 153315927128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180132986880).

153315927128 is an abundant number, since it is smaller than the sum of its proper divisors (206950046632).

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

153315927128 is a wasteful number, since it uses less digits than its factorization.

153315927128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11886 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The spelling of 153315927128 in words is "one hundred fifty-three billion, three hundred fifteen million, nine hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 3673 5096 7346 8191 14692 16382 25711 29384 32764 47749 51422 57337 65528 95498 102844 106483 114674 179977 190996 205688 212966 229348 334243 359954 381992 401359 425932 458696 668486 719908 745381 802718 851864 1336972 1439816 1490762 1605436 2339701 2673944 2981524 3210872 4679402 5217667 5963048 9358804 10435334 18717608 20870668 30085543 41741336 60171086 120342172 210598801 240684344 391112059 421197602 782224118 842395204 1474191607 1564448236 1684790408 2737784413 2948383214 3128896472 5475568826 5896766428 10951137652 11793532856 19164490891 21902275304 38328981782 76657963564 153315927128