Search a number
-
+
155463011100 = 223352426113513
BaseRepresentation
bin1001000011001001010…
…0010100101100011100
3112212021111002020021000
42100302110110230130
510021342012323400
6155230235510300
714142342535215
oct2206224245434
9485244066230
10155463011100
115aa278a9261
12261682b8390
1311877311cc7
14774b13a40c
15409d4e4600
hex2432514b1c

155463011100 has 144 divisors (see below), whose sum is σ = 499939078240. Its totient is φ = 41444006400.

The previous prime is 155463011029. The next prime is 155463011129. The reversal of 155463011100 is 1110364551.

155463011100 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 630 + 11 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11497944 + ... + 11511456.

Almost surely, 2155463011100 is an apocalyptic number.

155463011100 is a gapful number since it is divisible by the number (10) 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 155463011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249969539120).

155463011100 is an abundant number, since it is smaller than the sum of its proper divisors (344476067140).

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

155463011100 is a wasteful number, since it uses less digits than its factorization.

155463011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17784 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 155463011100 its reverse (1110364551), we get a palindrome (156573375651).

The spelling of 155463011100 in words is "one hundred fifty-five billion, four hundred sixty-three million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4261 8522 12783 13513 17044 21305 25566 27026 38349 40539 42610 51132 54052 63915 67565 76698 81078 85220 106525 115047 121617 127830 135130 153396 162156 191745 202695 213050 230094 243234 255660 270260 319575 337825 364851 383490 405390 426100 460188 486468 575235 608085 639150 675650 729702 766980 810780 958725 1013475 1150470 1216170 1278300 1351300 1459404 1824255 1917450 2026950 2300940 2432340 2876175 3040425 3648510 3834900 4053900 5752350 6080850 7297020 9121275 11504700 12161700 18242550 36485100 57578893 115157786 172736679 230315572 287894465 345473358 518210037 575788930 690946716 863683395 1036420074 1151577860 1439472325 1554630111 1727366790 2072840148 2591050185 2878944650 3109260222 3454733580 4318416975 5182100370 5757889300 6218520444 7773150555 8636833950 10364200740 12955250925 15546301110 17273667900 25910501850 31092602220 38865752775 51821003700 77731505550 155463011100