Search a number
-
+
139361629680 = 243357135961197
BaseRepresentation
bin1000000111001010011…
…0011011010111110000
3111022201100111022022000
42001302212123113300
54240403034122210
6144004415214000
713032340210230
oct2016246332760
9438640438260
10139361629680
1154115009069
1223013b17300
13101ac550590
146a60937cc0
153959b74ac0
hex207299b5f0

139361629680 has 1280 divisors, whose sum is σ = 613760716800. Its totient is φ = 28287221760.

The previous prime is 139361629663. The next prime is 139361629697. The reversal of 139361629680 is 86926163931.

139361629680 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 6 + 1 + 629 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139361629663) and next prime (139361629697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 707419342 + ... + 707419538.

It is an arithmetic number, because the mean of its divisors is an integer number (479500560).

Almost surely, 2139361629680 is an apocalyptic number.

139361629680 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 139361629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306880358400).

139361629680 is an abundant number, since it is smaller than the sum of its proper divisors (474399087120).

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

139361629680 is a wasteful number, since it uses less digits than its factorization.

139361629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 139361629680 in words is "one hundred thirty-nine billion, three hundred sixty-one million, six hundred twenty-nine thousand, six hundred eighty".