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5271919385000 = 235417257241333
BaseRepresentation
bin100110010110111011011…
…1000011101100110101000
3200122222202010102010000112
41030231312320131212220
51142333342330310000
615113515240353452
71052612035253342
oct114556670354650
920588663363015
105271919385000
111752899066124
12711897175888
132c31a838ab48
1414323b352292
1592204a43235
hex4cb76e1d9a8

5271919385000 has 160 divisors (see below), whose sum is σ = 13129645949640. Its totient is φ = 1976991744000.

The previous prime is 5271919384961. The next prime is 5271919385053. The reversal of 5271919385000 is 5839191725.

It can be written as a sum of positive squares in 20 ways, for example, as 121897343044 + 5150022041956 = 349138^2 + 2269366^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 5271919385000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21724334 + ... + 21965666.

Almost surely, 25271919385000 is an apocalyptic number.

5271919385000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271919385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564822974820).

5271919385000 is an abundant number, since it is smaller than the sum of its proper divisors (7857726564640).

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

5271919385000 is a wasteful number, since it uses less digits than its factorization.

5271919385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241633 (or 241614 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 50.

The spelling of 5271919385000 in words is "five trillion, two hundred seventy-one billion, nine hundred nineteen million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 257 340 425 500 514 625 680 850 1000 1028 1250 1285 1700 2056 2125 2500 2570 3400 4250 4369 5000 5140 6425 8500 8738 10280 10625 12850 17000 17476 21250 21845 25700 32125 34952 42500 43690 51400 64250 85000 87380 109225 128500 160625 174760 218450 241333 257000 321250 436900 482666 546125 642500 873800 965332 1092250 1206665 1285000 1930664 2184500 2413330 2730625 4102661 4369000 4826660 5461250 6033325 8205322 9653320 10922500 12066650 16410644 20513305 21845000 24133300 30166625 32821288 41026610 48266600 60333250 62022581 82053220 102566525 120666500 124045162 150833125 164106440 205133050 241333000 248090324 301666250 310112905 410266100 496180648 512832625 603332500 620225810 820532200 1025665250 1054383877 1206665000 1240451620 1550564525 2051330500 2108767754 2480903240 2564163125 3101129050 4102661000 4217535508 5128326250 5271919385 6202258100 7752822625 8435071016 10256652500 10543838770 12404516200 15505645250 20513305000 21087677540 26359596925 31011290500 38764113125 42175355080 52719193850 62022581000 77528226250 105438387700 131797984625 155056452500 210876775400 263595969250 310112905000 527191938500 658989923125 1054383877000 1317979846250 2635959692500 5271919385000