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77015020230 = 23258363116339
BaseRepresentation
bin100011110111001110…
…0111111001011000110
321100210022100101112200
41013232130333023012
52230211321121410
655214043055330
75364334604451
oct1075634771306
9240708311480
1077015020230
112a730a75655
1212b14211546
1373548ac1b5
143a28562498
15200b3e53c0
hex11ee73f2c6

77015020230 has 96 divisors (see below), whose sum is σ = 202985153280. Its totient is φ = 20256505920.

The previous prime is 77015020193. The next prime is 77015020241. The reversal of 77015020230 is 3202051077.

It is a super-3 number, since 3×770150202303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77015020194 and 77015020203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4705401 + ... + 4721739.

It is an arithmetic number, because the mean of its divisors is an integer number (2114428680).

Almost surely, 277015020230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77015020230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101492576640).

77015020230 is an abundant number, since it is smaller than the sum of its proper divisors (125970133050).

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

77015020230 is a wasteful number, since it uses less digits than its factorization.

77015020230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17066 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 77015020230 in words is "seventy-seven billion, fifteen million, twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 631 747 830 1245 1262 1494 1893 2490 3155 3735 3786 5679 6310 7470 9465 11358 16339 18930 28395 32678 49017 52373 56790 81695 98034 104746 147051 157119 163390 245085 261865 294102 314238 471357 490170 523730 735255 785595 942714 1356137 1470510 1571190 2356785 2712274 4068411 4713570 6780685 8136822 10309909 12205233 13561370 20342055 20619818 24410466 30929727 40684110 51549545 61026165 61859454 92789181 103099090 122052330 154648635 185578362 309297270 463945905 855722447 927891810 1711444894 2567167341 4278612235 5134334682 7701502023 8557224470 12835836705 15403004046 25671673410 38507510115 77015020230