Search a number
-
+
172024845306912 = 253213349113161503
BaseRepresentation
bin100111000111010010100111…
…110011000000110000100000
3211120002102012020121111211200
4213013102213303000300200
5140021423340344310122
61405511042320241200
751143246014010433
oct4707224763006040
9746072166544750
10172024845306912
114a8a3366551984
1217363698770200
1374cab47867440
14306a092b2381a
1514d4b635aa5ac
hex9c74a7cc0c20

172024845306912 has 144 divisors (see below), whose sum is σ = 526977038585088. Its totient is φ = 52915555560960.

The previous prime is 172024845306893. The next prime is 172024845306929. The reversal of 172024845306912 is 219603548420271.

It is a happy number.

172024845306912 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 2 + 48 + 4 + 530 + 69 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 6489553 + ... + 19651055.

It is an arithmetic number, because the mean of its divisors is an integer number (3659562767952).

It is a 1-persistent number, because it is pandigital, but 2⋅172024845306912 = 344049690613824 is not.

Almost surely, 2172024845306912 is an apocalyptic number.

172024845306912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172024845306912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263488519292544).

172024845306912 is an abundant number, since it is smaller than the sum of its proper divisors (354952193278176).

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

172024845306912 is a wasteful number, since it uses less digits than its factorization.

172024845306912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165023 (or 13165012 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 172024845306912 in words is "one hundred seventy-two trillion, twenty-four billion, eight hundred forty-five million, three hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3491 3744 6982 10473 13964 20946 27928 31419 41892 45383 55856 62838 83784 90766 111712 125676 136149 167568 181532 251352 272298 335136 363064 408447 502704 544596 726128 816894 1005408 1089192 1452256 1633788 2178384 3267576 4356768 6535152 13070304 13161503 26323006 39484509 52646012 78969018 105292024 118453527 157938036 171099539 210584048 236907054 315876072 342199078 421168096 473814108 513298617 631752144 684398156 947628216 1026597234 1263504288 1368796312 1539895851 1895256432 2053194468 2737592624 3079791702 3790512864 4106388936 5475185248 6159583404 8212777872 12319166808 16425555744 24638333616 45946806973 49276667232 91893613946 137840420919 183787227892 275680841838 367574455784 413521262757 551361683676 597308490649 735148911568 827042525514 1102723367352 1194616981298 1470297823136 1654085051028 1791925471947 2205446734704 2389233962596 3308170102056 3583850943894 4410893469408 4778467925192 5375776415841 6616340204112 7167701887788 9556935850384 10751552831682 13232680408224 14335403775576 19113871700768 21503105663364 28670807551152 43006211326728 57341615102304 86012422653456 172024845306912