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61350531000 = 233531179101233
BaseRepresentation
bin111001001000110001…
…101100111110111000
312212100121211212222220
4321020301230332320
52001121213443000
644103430444040
74301215623603
oct711061547670
9185317755886
1061350531000
1124022858a90
12ba82203620
135a294a8165
142d7dda933a
1518e10c51a0
hexe48c6cfb8

61350531000 has 512 divisors, whose sum is σ = 214468300800. Its totient is φ = 14476800000.

The previous prime is 61350530999. The next prime is 61350531019. The reversal of 61350531000 is 13505316.

It is a super-2 number, since 2×613505310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263306884 + ... + 263307116.

It is an arithmetic number, because the mean of its divisors is an integer number (418883400).

Almost surely, 261350531000 is an apocalyptic number.

61350531000 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 61350531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107234150400).

61350531000 is an abundant number, since it is smaller than the sum of its proper divisors (153117769800).

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

61350531000 is a wasteful number, since it uses less digits than its factorization.

61350531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 61350531000 in words is "sixty-one billion, three hundred fifty million, five hundred thirty-one thousand".