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153128843712 = 2634132272211
BaseRepresentation
bin1000111010011100110…
…0001011100111000000
3112122020210221020120000
42032213030023213000
510002101440444322
6154202454320000
714030450460405
oct2164714134700
9478223836500
10153128843712
1159a3a2707a9
1225816659000
1311594866080
1475a91362ac
153eb36243ac
hex23a730b9c0

153128843712 has 140 divisors (see below), whose sum is σ = 488839145256. Its totient is φ = 47116546560.

The previous prime is 153128843671. The next prime is 153128843719. The reversal of 153128843712 is 217348821351.

153128843712 is a `hidden beast` number, since 1 + 531 + 2 + 8 + 8 + 43 + 71 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153128843719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1068714 + ... + 1203497.

Almost surely, 2153128843712 is an apocalyptic number.

153128843712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153128843712 is an abundant number, since it is smaller than the sum of its proper divisors (335710301544).

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

153128843712 is a wasteful number, since it uses less digits than its factorization.

153128843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272248 (or 2272229 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 153128843712 in words is "one hundred fifty-three billion, one hundred twenty-eight million, eight hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 2272211 4544422 6816633 9088844 13633266 18177688 20449899 27266532 29538743 36355376 40899798 54533064 59077486 61349697 72710752 81799596 88616229 109066128 118154972 122699394 145421504 163599192 177232458 184049091 218132256 236309944 245398788 265848687 327198384 354464916 368098182 436264512 472619888 490797576 531697374 654396768 708929832 736196364 797546061 945239776 981595152 1063394748 1308793536 1417859664 1472392728 1595092122 1890479552 1963190304 2126789496 2392638183 2835719328 2944785456 3190184244 3926380608 4253578992 4785276366 5671438656 5889570912 6380368488 8507157984 9570552732 11779141824 12760736976 17014315968 19141105464 25521473952 38282210928 51042947904 76564421856 153128843712