Search a number
-
+
10168856201070 = 2325729595393497
BaseRepresentation
bin1001001111111001111100…
…0011111100011101101110
31100000010121001222000210100
42103332133003330131232
52313101304141413240
633343301423251530
72066450510356560
oct223763703743556
940003531860710
1010168856201070
113270651251116
121182961449ba6
13589bc4137bb8
14272264d05330
151297ae154e30
hex93f9f0fc76e

10168856201070 has 192 divisors, whose sum is σ = 31263547086720. Its totient is φ = 2243760390144.

The previous prime is 10168856201057. The next prime is 10168856201089. The reversal of 10168856201070 is 7010265886101.

10168856201070 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 8 + 5 + 620 + 10 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108714562 + ... + 108808058.

It is an arithmetic number, because the mean of its divisors is an integer number (162830974410).

Almost surely, 210168856201070 is an apocalyptic number.

10168856201070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168856201070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631773543360).

10168856201070 is an abundant number, since it is smaller than the sum of its proper divisors (21094690885650).

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

10168856201070 is a wasteful number, since it uses less digits than its factorization.

10168856201070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99499 (or 99496 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10168856201070 in words is "ten trillion, one hundred sixty-eight billion, eight hundred fifty-six million, two hundred one thousand, seventy".