Search a number
-
+
46481169042 = 232711191765063
BaseRepresentation
bin101011010010011111…
…100101101010010010
311102222100112001000100
4223102133211222102
51230143134402132
633204140433230
73233563263240
oct532237455222
9142870461010
1046481169042
11187924542a0
129012548816
1344c9a3c129
14236d26d790
1513209b837c
hexad27e5a92

46481169042 has 96 divisors (see below), whose sum is σ = 132167992320. Its totient is φ = 11437601760.

The previous prime is 46481169041. The next prime is 46481169079. The reversal of 46481169042 is 24096118464.

46481169042 is a `hidden beast` number, since 4 + 6 + 481 + 169 + 0 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (46481169041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856198 + ... + 908865.

It is an arithmetic number, because the mean of its divisors is an integer number (1376749920).

Almost surely, 246481169042 is an apocalyptic number.

46481169042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

46481169042 is an abundant number, since it is smaller than the sum of its proper divisors (85686823278).

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

46481169042 is a wasteful number, since it uses less digits than its factorization.

46481169042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765108 (or 1765105 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 46481169042 in words is "forty-six billion, four hundred eighty-one million, one hundred sixty-nine thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 26334 1765063 3530126 5295189 10590378 12355441 15885567 19415693 24710882 31771134 33536197 37066323 38831386 58247079 67072394 74132646 100608591 111198969 116494158 135909851 174741237 201217182 222397938 234753379 271819702 301825773 349482474 368898167 407729553 469506758 603651546 704260137 737796334 815459106 1106694501 1223188659 1408520274 2112780411 2213389002 2446377318 2582287169 3320083503 4225560822 5164574338 6640167006 7746861507 15493723014 23240584521 46481169042