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5180763120 = 2435137921019
BaseRepresentation
bin1001101001100110…
…00010101111110000
3111101001112000221120
410310303002233300
541102233404440
62214025422240
7242245521441
oct46463025760
914331460846
105180763120
112219451015
12100703a980
1364743bc10
143720b72c8
15204c60dd0
hex134cc2bf0

5180763120 has 160 divisors (see below), whose sum is σ = 17515545600. Its totient is φ = 1259062272.

The previous prime is 5180763067. The next prime is 5180763151. The reversal of 5180763120 is 213670815.

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, 235971 + ... + 256989.

It is an arithmetic number, because the mean of its divisors is an integer number (109472160).

Almost surely, 25180763120 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 5180763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757772800).

5180763120 is an abundant number, since it is smaller than the sum of its proper divisors (12334782480).

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

5180763120 is a wasteful number, since it uses less digits than its factorization.

5180763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21127 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5180763120 is about 71977.5181567134. The cubic root of 5180763120 is about 1730.3391941860.

The spelling of 5180763120 in words is "five billion, one hundred eighty million, seven hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 79 80 104 120 130 156 158 195 208 237 240 260 312 316 390 395 474 520 624 632 780 790 948 1027 1040 1185 1264 1560 1580 1896 2054 2370 3081 3120 3160 3792 4108 4740 5135 6162 6320 8216 9480 10270 12324 15405 16432 18960 20540 21019 24648 30810 41080 42038 49296 61620 63057 82160 84076 105095 123240 126114 168152 210190 246480 252228 273247 315285 336304 420380 504456 546494 630570 819741 840760 1008912 1092988 1261140 1366235 1639482 1660501 1681520 2185976 2522280 2732470 3278964 3321002 4098705 4371952 4981503 5044560 5464940 6557928 6642004 8197410 8302505 9963006 10929880 13115856 13284008 16394820 16605010 19926012 21586513 21859760 24907515 26568016 32789640 33210020 39852024 43173026 49815030 64759539 65579280 66420040 79704048 86346052 99630060 107932565 129519078 132840080 172692104 199260120 215865130 259038156 323797695 345384208 398520240 431730260 518076312 647595390 863460520 1036152624 1295190780 1726921040 2590381560 5180763120