Search a number
-
+
422490081168 = 24341061307253
BaseRepresentation
bin1100010010111100101…
…11110000011110010000
31111101112001121212110000
412021132113300132100
523410224430044133
6522031140410000
742344461302531
oct6113627603620
91441461555400
10422490081168
111531a4700241
1269a6b0a6900
1330ac0b8178c
141663d076688
15aecb081413
hex625e5f0790

422490081168 has 100 divisors (see below), whose sum is σ = 1223965358748. Its totient is φ = 140696835840.

The previous prime is 422490081151. The next prime is 422490081173. The reversal of 422490081168 is 861180094224.

422490081168 is a `hidden beast` number, since 4 + 22 + 490 + 0 + 81 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 364173627024 + 58316454144 = 603468^2 + 241488^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1221430 + ... + 1528682.

Almost surely, 2422490081168 is an apocalyptic number.

422490081168 is a gapful number since it is divisible by the number (48) 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 422490081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611982679374).

422490081168 is an abundant number, since it is smaller than the sum of its proper divisors (801475277580).

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

422490081168 is a wasteful number, since it uses less digits than its factorization.

422490081168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308334 (or 308319 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 422490081168 in words is "four hundred twenty-two billion, four hundred ninety million, eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1061 1296 2122 3183 4244 6366 8488 9549 12732 16976 19098 25464 28647 38196 50928 57294 76392 85941 114588 152784 171882 229176 307253 343764 458352 614506 687528 921759 1229012 1375056 1843518 2458024 2765277 3687036 4916048 5530554 7374072 8295831 11061108 14748144 16591662 22122216 24887493 33183324 44244432 49774986 66366648 99549972 132733296 199099944 325995433 398199888 651990866 977986299 1303981732 1955972598 2607963464 2933958897 3911945196 5215926928 5867917794 7823890392 8801876691 11735835588 15647780784 17603753382 23471671176 26405630073 35207506764 46943342352 52811260146 70415013528 105622520292 140830027056 211245040584 422490081168