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9946540758128 = 24133112037128153
BaseRepresentation
bin1001000010111101110000…
…0001110101010001110000
31022012212202112020101110012
42100233130001311101300
52300431003413230003
633053213331554052
72044420360315262
oct220573401652160
938185675211405
109946540758128
113195338a52397
12114785845b928
13571c5481cb20
142655b520db32
15123aeba428d8
hex90bdc075470

9946540758128 has 80 divisors (see below), whose sum is σ = 21425265528576. Its totient is φ = 4442219919360.

The previous prime is 9946540758109. The next prime is 9946540758241. The reversal of 9946540758128 is 8218570456499.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 77550500 + ... + 77678652.

Almost surely, 29946540758128 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 9946540758128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712632764288).

9946540758128 is an abundant number, since it is smaller than the sum of its proper divisors (11478724770448).

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

9946540758128 is a wasteful number, since it uses less digits than its factorization.

9946540758128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140242 (or 140236 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 68.

The spelling of 9946540758128 in words is "nine trillion, nine hundred forty-six billion, five hundred forty million, seven hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 12037 24074 48148 96296 128153 156481 192592 256306 312962 373147 512612 625924 746294 1025224 1251848 1492588 1665989 2050448 2503696 2985176 3331978 3972743 4850911 5970352 6663956 7945486 9701822 13327912 15890972 19403644 26655824 31781944 38807288 51645659 63563888 77614576 103291318 206582636 413165272 826330544 1542577661 3085155322 6170310644 12340621288 20053509593 24681242576 40107019186 47819907491 80214038372 95639814982 160428076744 191279629964 320856153488 382559259928 621658797383 765118519856 1243317594766 2486635189532 4973270379064 9946540758128