Search a number
-
+
10451273735136 = 253138374418057
BaseRepresentation
bin1001100000010110000001…
…1101010101101111100000
31101000010120020101020120110
42120011200131111233200
52332213202034011021
634121125431211320
72126036206660503
oct230054035255740
941003506336513
1010451273735136
11336a3a6617533
12120963a516b40
135aa7213a66c0
14281bb6c6713a
15131cdce34476
hex98160755be0

10451273735136 has 48 divisors (see below), whose sum is σ = 29544946908624. Its totient is φ = 3215776533504.

The previous prime is 10451273735101. The next prime is 10451273735261. The reversal of 10451273735136 is 63153737215401.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 4187207781 + ... + 4187210276.

It is an arithmetic number, because the mean of its divisors is an integer number (615519727263).

Almost surely, 210451273735136 is an apocalyptic number.

10451273735136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10451273735136 is an abundant number, since it is smaller than the sum of its proper divisors (19093673173488).

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

10451273735136 is a wasteful number, since it uses less digits than its factorization.

10451273735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374418083 (or 8374418075 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 10451273735136 in words is "ten trillion, four hundred fifty-one billion, two hundred seventy-three million, seven hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8374418057 16748836114 25123254171 33497672228 50246508342 66995344456 100493016684 108867434741 133990688912 200986033368 217734869482 267981377824 326602304223 401972066736 435469738964 653204608446 803944133472 870939477928 1306409216892 1741878955856 2612818433784 3483757911712 5225636867568 10451273735136