Search a number
-
+
153030564216 = 233223144763863
BaseRepresentation
bin1000111010000101010…
…1010001100101111000
3112121222222000010102200
42032201111101211320
510001401311023331
6154145024030200
714025145222305
oct2164125214570
9477888003380
10153030564216
1159999844982
12257a9762360
131157a3a571a
14759a0720ac
153ea9bae5e6
hex23a1551978

153030564216 has 96 divisors (see below), whose sum is σ = 432783336960. Its totient is φ = 48757870656.

The previous prime is 153030564173. The next prime is 153030564217. The reversal of 153030564216 is 612465030351.

153030564216 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 0 + 5 + 642 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153030564217) 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 23 ways as a sum of consecutive naturals, for example, 2364301 + ... + 2428163.

It is an arithmetic number, because the mean of its divisors is an integer number (4508159760).

Almost surely, 2153030564216 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 153030564216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216391668480).

153030564216 is an abundant number, since it is smaller than the sum of its proper divisors (279752772744).

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

153030564216 is a wasteful number, since it uses less digits than its factorization.

153030564216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65345 (or 65338 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 153030564216 its reverse (612465030351), we get a palindrome (765495594567).

The spelling of 153030564216 in words is "one hundred fifty-three billion, thirty million, five hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1447 1656 2894 4341 5788 8682 11576 13023 17364 26046 33281 34728 52092 63863 66562 99843 104184 127726 133124 191589 199686 255452 266248 299529 383178 399372 510904 574767 599058 766356 798744 1149534 1198116 1468849 1532712 2299068 2396232 2937698 4406547 4598136 5875396 8813094 11750792 13219641 17626188 26439282 35252376 52878564 92409761 105757128 184819522 277229283 369639044 554458566 739278088 831687849 1108917132 1663375698 2125424503 2217834264 3326751396 4250849006 6376273509 6653502792 8501698012 12752547018 17003396024 19128820527 25505094036 38257641054 51010188072 76515282108 153030564216