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59018353040 = 2453179301237
BaseRepresentation
bin110110111101110001…
…001001100110010000
312122100002102222021102
4312331301021212100
51431332144244130
643040200043532
74156346503133
oct667561114620
9178302388242
1059018353040
112303635a189
12b5311635a8
1357472778ba
142bdc36221a
151806499645
hexdbdc49990

59018353040 has 80 divisors (see below), whose sum is σ = 143437486080. Its totient is φ = 22556551680.

The previous prime is 59018353003. The next prime is 59018353063. The reversal of 59018353040 is 4035381095.

It is a happy number.

59018353040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 59018352985 and 59018353003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45302 + ... + 346538.

It is an arithmetic number, because the mean of its divisors is an integer number (1792968576).

Almost surely, 259018353040 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 59018353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71718743040).

59018353040 is an abundant number, since it is smaller than the sum of its proper divisors (84419133040).

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

59018353040 is a wasteful number, since it uses less digits than its factorization.

59018353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301360 (or 301354 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 59018353040 in words is "fifty-nine billion, eighteen million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 155 158 248 310 316 395 496 620 632 790 1240 1264 1580 2449 2480 3160 4898 6320 9796 12245 19592 24490 39184 48980 97960 195920 301237 602474 1204948 1506185 2409896 3012370 4819792 6024740 9338347 12049480 18676694 23797723 24098960 37353388 46691735 47595446 74706776 93383470 95190892 118988615 149413552 186766940 190381784 237977230 373533880 380763568 475954460 737729413 747067760 951908920 1475458826 1903817840 2950917652 3688647065 5901835304 7377294130 11803670608 14754588260 29509176520 59018353040