Search a number
-
+
55193445900 = 223352129715761
BaseRepresentation
bin110011011001110010…
…010010011000001100
312021110112012120002000
4303121302102120030
51401014010232100
641204443032300
73662513356305
oct633162223014
9167415176060
1055193445900
11214532968aa
12a84420b690
1352879cc638
1429583897ac
1516807ad900
hexcd9c9260c

55193445900 has 144 divisors (see below), whose sum is σ = 177584779680. Its totient is φ = 14705971200.

The previous prime is 55193445889. The next prime is 55193445907. The reversal of 55193445900 is 954439155.

55193445900 is a `hidden beast` number, since 5 + 5 + 19 + 3 + 44 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55193445907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494020 + ... + 3509780.

Almost surely, 255193445900 is an apocalyptic number.

55193445900 is a gapful number since it is divisible by the number (50) 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 55193445900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792389840).

55193445900 is an abundant number, since it is smaller than the sum of its proper divisors (122391333780).

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

55193445900 is a wasteful number, since it uses less digits than its factorization.

55193445900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17081 (or 17068 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 55193445900 in words is "fifty-five billion, one hundred ninety-three million, four hundred forty-five thousand, nine 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 1297 1350 2594 2700 3891 5188 6485 7782 11673 12970 15564 15761 19455 23346 25940 31522 32425 35019 38910 46692 47283 58365 63044 64850 70038 77820 78805 94566 97275 116730 129700 140076 141849 157610 175095 189132 194550 233460 236415 283698 291825 315220 350190 389100 394025 425547 472830 567396 583650 700380 709245 788050 851094 875475 945660 1167300 1182075 1418490 1576100 1702188 1750950 2127735 2364150 2836980 3501900 3546225 4255470 4728300 7092450 8510940 10638675 14184900 20442017 21277350 40884034 42554700 61326051 81768068 102210085 122652102 183978153 204420170 245304204 306630255 367956306 408840340 511050425 551934459 613260510 735912612 919890765 1022100850 1103868918 1226521020 1533151275 1839781530 2044201700 2207737836 2759672295 3066302550 3679563060 4599453825 5519344590 6132605100 9198907650 11038689180 13798361475 18397815300 27596722950 55193445900