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60828036100 = 225213257918143
BaseRepresentation
bin111000101001101000…
…100010110000000100
312211000012200101201221
4320221220202300010
51444033434123400
643535523530124
74252242530056
oct705150426004
9184005611657
1060828036100
1123884927917
12b957229944
135975178190
142d308398d6
1518b02b6c1a
hexe29a22c04

60828036100 has 72 divisors (see below), whose sum is σ = 142213397760. Its totient is φ = 22449636480.

The previous prime is 60828036067. The next prime is 60828036109. The reversal of 60828036100 is 163082806.

It is not an unprimeable number, because it can be changed into a prime (60828036109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3343629 + ... + 3361771.

It is an arithmetic number, because the mean of its divisors is an integer number (1975186080).

Almost surely, 260828036100 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 60828036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71106698880).

60828036100 is an abundant number, since it is smaller than the sum of its proper divisors (81385361660).

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

60828036100 is a wasteful number, since it uses less digits than its factorization.

60828036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 60828036100 in words is "sixty billion, eight hundred twenty-eight million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2579 5158 10316 12895 18143 25790 33527 36286 51580 64475 67054 72572 90715 128950 134108 167635 181430 235859 257900 335270 362860 453575 471718 670540 838175 907150 943436 1179295 1676350 1814300 2358590 3352700 4717180 5896475 11792950 23585900 46790797 93581594 187163188 233953985 467907970 608280361 935815940 1169769925 1216560722 2339539850 2433121444 3041401805 4679079700 6082803610 12165607220 15207009025 30414018050 60828036100