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46242422464 = 267751137443
BaseRepresentation
bin101011000100010000…
…110101111011000000
311102100201021110021111
4223010100311323000
51224201030004324
633124331333104
73224634051130
oct530420657300
9142321243244
1046242422464
111867a707477
128b665b1194
13448c439974
142349682ac0
151309a58794
hexac4435ec0

46242422464 has 56 divisors (see below), whose sum is σ = 105011614208. Its totient is φ = 19791648000.

The previous prime is 46242422431. The next prime is 46242422491. The reversal of 46242422464 is 46422424264.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267727 + ... + 405169.

Almost surely, 246242422464 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 46242422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52505807104).

46242422464 is an abundant number, since it is smaller than the sum of its proper divisors (58769191744).

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

46242422464 is a wasteful number, since it uses less digits than its factorization.

46242422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138213 (or 138203 counting only the distinct ones).

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

The spelling of 46242422464 in words is "forty-six billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 751 1502 3004 5257 6008 10514 12016 21028 24032 42056 48064 84112 137443 168224 274886 336448 549772 962101 1099544 1924202 2199088 3848404 4398176 7696808 8796352 15393616 30787232 61574464 103219693 206439386 412878772 722537851 825757544 1445075702 1651515088 2890151404 3303030176 5780302808 6606060352 11560605616 23121211232 46242422464