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46442464420 = 22511221119091
BaseRepresentation
bin101011010000001011…
…111100010010100100
311102212122200122020211
4223100023330102210
51230103232330140
633200235105204
73232613301622
oct532013742244
9142778618224
1046442464420
1118772618a00
1290015a2204
1344c1a0a0a1
142368076512
15131c3c02ea
hexad02fc4a4

46442464420 has 72 divisors (see below), whose sum is σ = 107264070144. Its totient is φ = 16878312000.

The previous prime is 46442464357. The next prime is 46442464451. The reversal of 46442464420 is 2446424464.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5104075 + ... + 5113165.

It is an arithmetic number, because the mean of its divisors is an integer number (1489778752).

Almost surely, 246442464420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46442464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53632035072).

46442464420 is an abundant number, since it is smaller than the sum of its proper divisors (60821605724).

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

46442464420 is a wasteful number, since it uses less digits than its factorization.

46442464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 46442464420 its reverse (2446424464), we get a palindrome (48888888884).

The spelling of 46442464420 in words is "forty-six billion, four hundred forty-two million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2111 2420 4222 8444 9091 10555 18182 21110 23221 36364 42220 45455 46442 90910 92884 100001 116105 181820 200002 232210 255431 400004 464420 500005 510862 1000010 1021724 1100011 1277155 2000020 2200022 2554310 4400044 5108620 5500055 11000110 19191101 22000220 38382202 76764404 95955505 191911010 211102111 383822020 422204222 844408444 1055510555 2111021110 2322123221 4222042220 4644246442 9288492884 11610616105 23221232210 46442464420