Search a number
-
+
126070519550976 = 210357113134789
BaseRepresentation
bin11100101010100100010100…
…100010001101010000000000
3121112101020001021021221200000
4130222210110202031100000
5113011014411001112401
61124043555214400000
735361203000041020
oct3452442442152000
9545336037257600
10126070519550976
11371962306a9000
1212181389b00000
135546525743110
14231bbba879a80
15e895b462a186
hex72a91488d400

126070519550976 has 4224 divisors, whose sum is σ = 527791112110080. Its totient is φ = 29251177021440.

The previous prime is 126070519550917. The next prime is 126070519550993. The reversal of 126070519550976 is 679055915070621.

126070519550976 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 7 + 0 + 5 + 1 + 9 + 550 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1416522691540 + ... + 1416522691628.

Almost surely, 2126070519550976 is an apocalyptic number.

126070519550976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126070519550976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263895556055040).

126070519550976 is an abundant number, since it is smaller than the sum of its proper divisors (401720592559104).

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

126070519550976 is an equidigital number, since it uses as much as digits as its factorization.

126070519550976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 63.

The spelling of 126070519550976 in words is "one hundred twenty-six trillion, seventy billion, five hundred nineteen million, five hundred fifty thousand, nine hundred seventy-six".