Search a number
-
+
4552126807200 = 253527270959929
BaseRepresentation
bin100001000111101111111…
…1001101011110010100000
3121010011211112200120210120
41002033133321223302200
51044040223430312300
613403115043400240
7646610642302350
oct102173771536240
917104745616716
104552126807200
1114a56009aa915
12616296083080
132703574cba0b
1411a47751ab60
157d6280433a0
hex423dfe6bca0

4552126807200 has 144 divisors (see below), whose sum is σ = 16933911785280. Its totient is φ = 1040486123520.

The previous prime is 4552126807169. The next prime is 4552126807259. The reversal of 4552126807200 is 27086212554.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 135463165 + ... + 135496764.

It is an arithmetic number, because the mean of its divisors is an integer number (117596609620).

Almost surely, 24552126807200 is an apocalyptic number.

4552126807200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4552126807200 is an abundant number, since it is smaller than the sum of its proper divisors (12381784978080).

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

4552126807200 is a wasteful number, since it uses less digits than its factorization.

4552126807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270959959 (or 270959946 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 4552126807200 in words is "four trillion, five hundred fifty-two billion, one hundred twenty-six million, eight hundred seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 270959929 541919858 812879787 1083839716 1354799645 1625759574 1896719503 2167679432 2709599290 3251519148 3793439006 4064398935 4335358864 5419198580 5690158509 6503038296 6773998225 7586878012 8128797870 8670717728 9483597515 10838397160 11380317018 13006076592 13547996450 15173756024 16257595740 18967195030 20321994675 21676794320 22760634036 26012153184 27095992900 28450792545 30347512048 32515191480 37934390060 40643989350 43353588640 45521268072 47417987575 54191985800 56901585090 60695024096 65030382960 75868780120 81287978700 91042536144 94835975150 108383971600 113803170180 130060765920 142253962725 151737560240 162575957400 182085072288 189671950300 216767943200 227606340360 284507925450 303475120480 325151914800 379343900600 455212680720 569015850900 650303829600 758687801200 910425361440 1138031701800 1517375602400 2276063403600 4552126807200