Search a number
-
+
506055555000 = 23325411245679
BaseRepresentation
bin1110101110100110100…
…00101111011110111000
31210101012212210210001100
413113103100233132320
531242400210230000
61024251222451400
751363346146552
oct7272320573670
91711185723040
10506055555000
11185687193606
12820b0b93b60
133894a898508
141a6c95744d2
15d26c591a00
hex75d342f7b8

506055555000 has 120 divisors (see below), whose sum is σ = 1712660835600. Its totient is φ = 134948136000.

The previous prime is 506055554993. The next prime is 506055555013. The reversal of 506055555000 is 555550605.

506055555000 is a `hidden beast` number, since 50 + 6 + 0 + 5 + 55 + 550 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5577840 + ... + 5667839.

It is an arithmetic number, because the mean of its divisors is an integer number (14272173630).

Almost surely, 2506055555000 is an apocalyptic number.

506055555000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506055555000 is an abundant number, since it is smaller than the sum of its proper divisors (1206605280600).

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

506055555000 is a wasteful number, since it uses less digits than its factorization.

506055555000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245711 (or 11245689 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 506055555000 in words is "five hundred six billion, fifty-five million, five hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 11245679 22491358 33737037 44982716 56228395 67474074 89965432 101211111 112456790 134948148 168685185 202422222 224913580 269896296 281141975 337370370 404844444 449827160 506055555 562283950 674740740 809688888 843425925 1012111110 1124567900 1349481480 1405709875 1686851850 2024222220 2249135800 2530277775 2811419750 3373703700 4048444440 4217129625 5060555550 5622839500 6747407400 7028549375 8434259250 10121111100 11245679000 12651388875 14057098750 16868518500 20242222200 21085648125 25302777750 28114197500 33737037000 42171296250 50605555500 56228395000 63256944375 84342592500 101211111000 126513888750 168685185000 253027777500 506055555000