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60259161040 = 2451388765323
BaseRepresentation
bin111000000111101110…
…011101001111010000
312202112120020112212021
4320013232131033100
51441402321123130
643403242541224
74232164263151
oct700756351720
9182476215767
1060259161040
11236127a8641
12b818807814
1358b4359610
142cb9075928
15187a39637a
hexe07b9d3d0

60259161040 has 80 divisors (see below), whose sum is σ = 151052082048. Its totient is φ = 22224112128.

The previous prime is 60259161031. The next prime is 60259161071. The reversal of 60259161040 is 4016195206.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 60259160987 and 60259161005.

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 15 ways as a sum of consecutive naturals, for example, 889819 + ... + 955141.

Almost surely, 260259161040 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 60259161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75526041024).

60259161040 is an abundant number, since it is smaller than the sum of its proper divisors (90792921008).

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

60259161040 is a wasteful number, since it uses less digits than its factorization.

60259161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66236 (or 66230 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 60259161040 in words is "sixty billion, two hundred fifty-nine million, one hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 887 1040 1774 3548 4435 7096 8870 11531 14192 17740 23062 35480 46124 57655 65323 70960 92248 115310 130646 184496 230620 261292 326615 461240 522584 653230 849199 922480 1045168 1306460 1698398 2612920 3396796 4245995 5225840 6793592 8491990 13587184 16983980 33967960 57941501 67935920 115883002 231766004 289707505 463532008 579415010 753239513 927064016 1158830020 1506479026 2317660040 3012958052 3766197565 4635320080 6025916104 7532395130 12051832208 15064790260 30129580520 60259161040