Search a number
-
+
138170603520 = 2113451741239
BaseRepresentation
bin1000000010101110011…
…1000001100000000000
3111012122100100220120000
42000223213001200000
54230433133303040
6143250311320000
712660665515605
oct2005347014000
9435570326500
10138170603520
1153663781524
1222941080000
131004c87b881
14698a6a26ac
1538da30d130
hex202b9c1800

138170603520 has 960 divisors, whose sum is σ = 539415676800. Its totient is φ = 33690746880.

The previous prime is 138170603509. The next prime is 138170603531. The reversal of 138170603520 is 25306071831.

138170603520 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 70 + 60 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (138170603509) and next prime (138170603531).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1381706035202 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578119561 + ... + 578119799.

It is an arithmetic number, because the mean of its divisors is an integer number (561891330).

Almost surely, 2138170603520 is an apocalyptic number.

138170603520 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 138170603520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269707838400).

138170603520 is an abundant number, since it is smaller than the sum of its proper divisors (401245073280).

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

138170603520 is a wasteful number, since it uses less digits than its factorization.

138170603520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 138170603520 in words is "one hundred thirty-eight billion, one hundred seventy million, six hundred three thousand, five hundred twenty".