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61150100640 = 25352914929483
BaseRepresentation
bin111000111100110101…
…000111110010100000
312211211122200222020020
4320330311013302200
52000213411210030
644031510513440
74263233164536
oct707465076240
9184748628206
1061150100640
1123a2a701762
12ba27065880
1359c6b00005
142d61514156
1518cd6d3510
hexe3cd47ca0

61150100640 has 192 divisors, whose sum is σ = 200609136000. Its totient is φ = 15638196224.

The previous prime is 61150100639. The next prime is 61150100657. The reversal of 61150100640 is 4600105116.

61150100640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61150100640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059339 + ... + 2088821.

It is an arithmetic number, because the mean of its divisors is an integer number (1044839250).

Almost surely, 261150100640 is an apocalyptic number.

61150100640 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 61150100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304568000).

61150100640 is an abundant number, since it is smaller than the sum of its proper divisors (139459035360).

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

61150100640 is a wasteful number, since it uses less digits than its factorization.

61150100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29679 (or 29671 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 61150100640 its reverse (4600105116), we get a palindrome (65750205756).

The spelling of 61150100640 in words is "sixty-one billion, one hundred fifty million, one hundred thousand, six hundred forty".