Search a number
-
+
46417120000 = 2854290107
BaseRepresentation
bin101011001110101011…
…010000101100000000
311102210220000000020121
4223032223100230000
51230030240320000
633153531550024
73232155003316
oct531653205400
9142726000217
1046417120000
111875a2882a9
128bb4bbb314
1344b96a51a4
14236495a0b6
15131a065b1a
hexacead0b00

46417120000 has 90 divisors (see below), whose sum is σ = 115779491828. Its totient is φ = 18566784000.

The previous prime is 46417119977. The next prime is 46417120027. The reversal of 46417120000 is 2171464.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14947 + ... + 305053.

Almost surely, 246417120000 is an apocalyptic number.

46417120000 is a gapful number since it is divisible by the number (40) 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 46417120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57889745914).

46417120000 is an abundant number, since it is smaller than the sum of its proper divisors (69362371828).

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

46417120000 is an frugal number, since it uses more digits than its factorization.

46417120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290143 (or 290114 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 46417120000 its reverse (2171464), we get a palindrome (46419291464).

The spelling of 46417120000 in words is "forty-six billion, four hundred seventeen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 290107 580214 1160428 1450535 2320856 2901070 4641712 5802140 7252675 9283424 11604280 14505350 18566848 23208560 29010700 36263375 37133696 46417120 58021400 72526750 74267392 92834240 116042800 145053500 181316875 185668480 232085600 290107000 362633750 371336960 464171200 580214000 725267500 928342400 1160428000 1450535000 1856684800 2320856000 2901070000 4641712000 5802140000 9283424000 11604280000 23208560000 46417120000