Search a number
-
+
10187720712000 = 2632531331479733
BaseRepresentation
bin1001010001000000001101…
…1110010101111101000000
31100001221021202212110212100
42110100003132111331000
52313403423000241000
633400101351230400
72101016134150656
oct224200336257500
940057252773770
1010187720712000
113278651826417
121186547078400
1358b90c4b75c0
14273134490dd6
1512a015379a00
hex94403795f40

10187720712000 has 1344 divisors, whose sum is σ = 40652474204160. Its totient is φ = 2418481152000.

The previous prime is 10187720711989. The next prime is 10187720712019. The reversal of 10187720712000 is 21702778101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13898663634 + ... + 13898664366.

It is an arithmetic number, because the mean of its divisors is an integer number (30247376640).

Almost surely, 210187720712000 is an apocalyptic number.

10187720712000 is a gapful number since it is divisible by the number (10) 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 10187720712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20326237102080).

10187720712000 is an abundant number, since it is smaller than the sum of its proper divisors (30464753492160).

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

10187720712000 is a wasteful number, since it uses less digits than its factorization.

10187720712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 10187720712000 in words is "ten trillion, one hundred eighty-seven billion, seven hundred twenty million, seven hundred twelve thousand".