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46269318144 = 210373758153
BaseRepresentation
bin101011000101110111…
…011100010000000000
311102102120212220012210
4223011313130100000
51224224421140034
633131132022120
73225411500160
oct530567342000
9142376786183
1046269318144
1118693907605
128b73601940
134494b9597a
14234d0845a0
15130c0bc8e9
hexac5ddc400

46269318144 has 176 divisors, whose sum is σ = 144754145408. Its totient is φ = 12862291968.

The previous prime is 46269318103. The next prime is 46269318191. The reversal of 46269318144 is 44181396264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 46269318093 and 46269318102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766572 + ... + 824724.

Almost surely, 246269318144 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 46269318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72377072704).

46269318144 is an abundant number, since it is smaller than the sum of its proper divisors (98484827264).

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

46269318144 is a wasteful number, since it uses less digits than its factorization.

46269318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58220 (or 58202 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 46269318144 in words is "forty-six billion, two hundred sixty-nine million, three hundred eighteen thousand, one hundred forty-four".