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125883801040 = 2451573547513
BaseRepresentation
bin111010100111101000…
…0100101110111010000
3110000221001120200011111
41311033100211313100
54030302223113130
6133455154423104
712044342440204
oct1651720456720
9400831520144
10125883801040
114942913aa08
1220492291a94
13bb4218a34a
146142948b04
15341b7d902a
hex1d4f425dd0

125883801040 has 20 divisors (see below), whose sum is σ = 292679837604. Its totient is φ = 50353520384.

The previous prime is 125883801031. The next prime is 125883801049. The reversal of 125883801040 is 40108388521.

It is an interprime number because it is at equal distance from previous prime (125883801031) and next prime (125883801049).

It can be written as a sum of positive squares in 2 ways, for example, as 72367456144 + 53516344896 = 269012^2 + 231336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 125883800984 and 125883801002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125883801049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 786773677 + ... + 786773836.

Almost surely, 2125883801040 is an apocalyptic number.

125883801040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125883801040 is an abundant number, since it is smaller than the sum of its proper divisors (166796036564).

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

125883801040 is a wasteful number, since it uses less digits than its factorization.

125883801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573547526 (or 1573547520 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 125883801040 in words is "one hundred twenty-five billion, eight hundred eighty-three million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1573547513 3147095026 6294190052 7867737565 12588380104 15735475130 25176760208 31470950260 62941900520 125883801040