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5219361312 = 253115638779
BaseRepresentation
bin1001101110001100…
…10010001000100000
3111110202011000201020
410313012102020200
541142124030222
62221525005440
7243224560554
oct46706221040
914422130636
105219361312
112239214450
121017b53880
13652434699
14377283864
1520833765c
hex137192220

5219361312 has 96 divisors (see below), whose sum is σ = 14974606080. Its totient is φ = 1578635520.

The previous prime is 5219361307. The next prime is 5219361347. The reversal of 5219361312 is 2131639125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×52193613123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 590139 + ... + 598917.

It is an arithmetic number, because the mean of its divisors is an integer number (155985480).

Almost surely, 25219361312 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 5219361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487303040).

5219361312 is an abundant number, since it is smaller than the sum of its proper divisors (9755244768).

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

5219361312 is a wasteful number, since it uses less digits than its factorization.

5219361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9358 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 5219361312 is about 72245.1473249242. The cubic root of 5219361312 is about 1734.6257431474.

The spelling of 5219361312 in words is "five billion, two hundred nineteen million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 563 1056 1126 1689 2252 3378 4504 6193 6756 8779 9008 12386 13512 17558 18016 18579 24772 26337 27024 35116 37158 49544 52674 54048 70232 74316 96569 99088 105348 140464 148632 193138 198176 210696 280928 289707 297264 386276 421392 579414 594528 772552 842784 1158828 1545104 2317656 3090208 4635312 4942577 9270624 9885154 14827731 19770308 29655462 39540616 54368347 59310924 79081232 108736694 118621848 158162464 163105041 217473388 237243696 326210082 434946776 474487392 652420164 869893552 1304840328 1739787104 2609680656 5219361312