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5218327920 = 2435132128657
BaseRepresentation
bin1001101110000100…
…10101110101110000
3111110200012112011110
410313002111311300
541141342443140
62221450513320
7243213025011
oct46702256560
914420175143
105218327920
112238679003
121017735840
13652162200
14377095008
152081d1380
hex137095d70

5218327920 has 120 divisors (see below), whose sum is σ = 17517044016. Its totient is φ = 1284501504.

The previous prime is 5218327861. The next prime is 5218327927. The reversal of 5218327920 is 297238125.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218327927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23769 + ... + 104888.

Almost surely, 25218327920 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 5218327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758522008).

5218327920 is an abundant number, since it is smaller than the sum of its proper divisors (12298716096).

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

5218327920 is a wasteful number, since it uses less digits than its factorization.

5218327920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128699 (or 128680 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5218327920 is about 72237.9949887869. The cubic root of 5218327920 is about 1734.5112548939.

The spelling of 5218327920 in words is "five billion, two hundred eighteen million, three hundred twenty-seven thousand, nine 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 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 128657 257314 385971 514628 643285 771942 1029256 1286570 1543884 1672541 1929855 2058512 2573140 3087768 3345082 3859710 5017623 5146280 6175536 6690164 7719420 8362705 10035246 10292560 13380328 15438840 16725410 20070492 21743033 25088115 26760656 30877680 33450820 40140984 43486066 50176230 65229099 66901640 80281968 86972132 100352460 108715165 130458198 133803280 173944264 200704920 217430330 260916396 326145495 347888528 401409840 434860660 521832792 652290990 869721320 1043665584 1304581980 1739442640 2609163960 5218327920