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61000840152 = 2335747127751
BaseRepresentation
bin111000110011111011…
…101111001111011000
312211110020211202100000
4320303323233033120
51444412203341102
644005015413000
74256441405010
oct706373571730
9184406752300
1061000840152
112396342508a
12b9a5084160
1359a1bcc8b5
142d4977cc40
1518c054d01c
hexe33eef3d8

61000840152 has 384 divisors, whose sum is σ = 201814179840. Its totient is φ = 16901136000.

The previous prime is 61000840151. The next prime is 61000840157. The reversal of 61000840152 is 25104800016.

61000840152 is a `hidden beast` number, since 610 + 0 + 0 + 8 + 40 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×610008401522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61000840151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81225777 + ... + 81226527.

It is an arithmetic number, because the mean of its divisors is an integer number (525557760).

Almost surely, 261000840152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000840152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100907089920).

61000840152 is an abundant number, since it is smaller than the sum of its proper divisors (140813339688).

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

61000840152 is a wasteful number, since it uses less digits than its factorization.

61000840152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 61000840152 in words is "sixty-one billion, eight hundred forty thousand, one hundred fifty-two".