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60424934640 = 243571731139491
BaseRepresentation
bin111000010001100110…
…110101010011110000
312202222010011201111020
4320101212311103300
51442222240402030
643431524015440
74236246320130
oct702146652360
9182863151436
1060424934640
1123698333814
12b864231580
13590c7bbcc5
142cd30a8ac0
151889bde510
hexe119b54f0

60424934640 has 640 divisors, whose sum is σ = 236144885760. Its totient is φ = 12463718400.

The previous prime is 60424934627. The next prime is 60424934651. The reversal of 60424934640 is 4643942406.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 60424934592 and 60424934601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123064795 + ... + 123065285.

It is an arithmetic number, because the mean of its divisors is an integer number (368976384).

Almost surely, 260424934640 is an apocalyptic number.

60424934640 is a gapful number since it is divisible by the number (60) 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 60424934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118072442880).

60424934640 is an abundant number, since it is smaller than the sum of its proper divisors (175719951120).

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

60424934640 is a wasteful number, since it uses less digits than its factorization.

60424934640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 60424934640 in words is "sixty billion, four hundred twenty-four million, nine hundred thirty-four thousand, six hundred forty".