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5119085520 = 2433512718661
BaseRepresentation
bin1001100010001111…
…10000101111010000
3111012202110111012000
410301013300233100
540440441214040
62203543434000
7240566336403
oct46107605720
914182414160
105119085520
11219765479a
12baa455900
136377254b3
14367c1dd3a
151ee62b130
hex1311f0bd0

5119085520 has 160 divisors (see below), whose sum is σ = 17772195840. Its totient is φ = 1354268160.

The previous prime is 5119085501. The next prime is 5119085557. The reversal of 5119085520 is 255809115.

It is a happy number.

5119085520 is a `hidden beast` number, since 5 + 11 + 90 + 8 + 552 + 0 = 666.

It is a super-2 number, since 2×51190855202 = 52410073122147340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264990 + ... + 283650.

It is an arithmetic number, because the mean of its divisors is an integer number (111076224).

Almost surely, 25119085520 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 5119085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886097920).

5119085520 is an abundant number, since it is smaller than the sum of its proper divisors (12653110320).

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

5119085520 is a wasteful number, since it uses less digits than its factorization.

5119085520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 5119085520 is about 71547.7848713711. The cubic root of 5119085520 is about 1723.4451319867.

The spelling of 5119085520 in words is "five billion, one hundred nineteen million, eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 508 540 635 720 762 1016 1080 1143 1270 1524 1905 2032 2160 2286 2540 3048 3429 3810 4572 5080 5715 6096 6858 7620 9144 10160 11430 13716 15240 17145 18288 18661 22860 27432 30480 34290 37322 45720 54864 55983 68580 74644 91440 93305 111966 137160 149288 167949 186610 223932 274320 279915 298576 335898 373220 447864 503847 559830 671796 746440 839745 895728 1007694 1119660 1343592 1492880 1679490 2015388 2239320 2369947 2519235 2687184 3358980 4030776 4478640 4739894 5038470 6717960 7109841 8061552 9479788 10076940 11849735 13435920 14219682 18959576 20153880 21329523 23699470 28439364 35549205 37919152 40307760 42659046 47398940 56878728 63988569 71098410 85318092 94797880 106647615 113757456 127977138 142196820 170636184 189595760 213295230 255954276 284393640 319942845 341272368 426590460 511908552 568787280 639885690 853180920 1023817104 1279771380 1706361840 2559542760 5119085520