Search a number
-
+
104425820460 = 22345134958491
BaseRepresentation
bin110000101000001000…
…0111001000100101100
3100222112121121022120000
41201100100321010230
53202331002223320
6115550023424300
710354524554103
oct1412020710454
9328477538500
10104425820460
1140317720565
12182a3bb5090
139b02713210
1450a8b7b03a
152ab2a73c90
hex185043912c

104425820460 has 120 divisors (see below), whose sum is σ = 352786788816. Its totient is φ = 25704812160.

The previous prime is 104425820399. The next prime is 104425820467. The reversal of 104425820460 is 64028524401.

104425820460 is a `hidden beast` number, since 1 + 0 + 442 + 5 + 8 + 204 + 6 + 0 = 666.

It is a super-2 number, since 2×1044258204602 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104425820467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2458186 + ... + 2500305.

Almost surely, 2104425820460 is an apocalyptic number.

104425820460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104425820460 is an abundant number, since it is smaller than the sum of its proper divisors (248360968356).

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

104425820460 is a wasteful number, since it uses less digits than its factorization.

104425820460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958525 (or 4958514 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 104425820460 in words is "one hundred four billion, four hundred twenty-five million, eight hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 4958491 9916982 14875473 19833964 24792455 29750946 44626419 49584910 59501892 64460383 74377365 89252838 99169820 128920766 133879257 148754730 178505676 193381149 223132095 257841532 267758514 297509460 322301915 386762298 401637771 446264190 535517028 580143447 644603830 669396285 773524596 803275542 892528380 966905745 1160286894 1289207660 1338792570 1606551084 1740430341 1933811490 2008188855 2320573788 2677585140 2900717235 3480860682 3867622980 4016377710 5221291023 5801434470 6961721364 8032755420 8702151705 10442582046 11602868940 17404303410 20885164092 26106455115 34808606820 52212910230 104425820460