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61028995104 = 2535721114561
BaseRepresentation
bin111000110101100111…
…001001000000100000
312211112012211011200000
4320311213021000200
51444441410320404
644011503100000
74260232620300
oct706547110040
9184465734600
1061028995104
1123978305340
12b9b25a1600
1359a79a9b2c
142d4d3cb600
1518c2c60339
hexe359c9020

61028995104 has 432 divisors, whose sum is σ = 228412076256. Its totient is φ = 15850598400.

The previous prime is 61028995067. The next prime is 61028995109. The reversal of 61028995104 is 40159982016.

61028995104 is a `hidden beast` number, since 610 + 28 + 9 + 9 + 5 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 61028995104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61028995109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4183984 + ... + 4198544.

It is an arithmetic number, because the mean of its divisors is an integer number (528731658).

Almost surely, 261028995104 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 61028995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114206038128).

61028995104 is an abundant number, since it is smaller than the sum of its proper divisors (167383081152).

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

61028995104 is a wasteful number, since it uses less digits than its factorization.

61028995104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 61028995104 in words is "sixty-one billion, twenty-eight million, nine hundred ninety-five thousand, one hundred four".