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153661013145 = 3452321076703
BaseRepresentation
bin1000111100011011101…
…0001111110010011001
3112200121220022020210000
42033012322033302121
510004144204410040
6154331344443213
714046602026653
oct2170672176231
9480556266700
10153661013145
115a1926aa552
1225944919509
131164aba2723
147619aa36d3
153ee51e4130
hex23c6e8fc99

153661013145 has 120 divisors (see below), whose sum is σ = 290682919296. Its totient is φ = 77645189952.

The previous prime is 153661013101. The next prime is 153661013153. The reversal of 153661013145 is 541310166351.

153661013145 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 610 + 1 + 31 + 4 + 5 = 666.

It is not a de Polignac number, because 153661013145 - 217 = 153660882073 is a prime.

It is a super-2 number, since 2×1536610131452 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22920864 + ... + 22927566.

Almost surely, 2153661013145 is an apocalyptic number.

153661013145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153661013145 is a deficient number, since it is larger than the sum of its proper divisors (137021906151).

153661013145 is a wasteful number, since it uses less digits than its factorization.

153661013145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 153661013145 its reverse (541310166351), we get a palindrome (694971179496).

The spelling of 153661013145 in words is "one hundred fifty-three billion, six hundred sixty-one million, thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 107 115 135 207 321 345 405 529 535 621 963 1035 1587 1605 1863 2461 2645 2889 3105 4761 4815 6703 7383 7935 8667 9315 12305 14283 14445 20109 22149 23805 33515 36915 42849 43335 56603 60327 66447 71415 100545 110745 154169 169809 180981 199341 214245 283015 301635 332235 462507 509427 542943 717221 770845 849045 904905 996705 1387521 1528281 2151663 2312535 2547135 2714715 3545887 3586105 4162563 4584843 6454989 6937605 7641405 10637661 10758315 12487689 16496083 17729435 19364967 20812815 22924215 31912983 32274945 49488249 53188305 58094901 62438445 82480415 95738949 96824835 148464747 159564915 247441245 287216847 290474505 379409909 445394241 478694745 742323735 1138229727 1336182723 1436084235 1897049545 2226971205 3414689181 5691148635 6680913615 10244067543 17073445905 30732202629 51220337715 153661013145