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5211415296 = 283215714407
BaseRepresentation
bin1001101101001111…
…11110001100000000
3111110012012022211100
410312213332030000
541133110242141
62221042414400
7243100204413
oct46647761400
914405168740
105211415296
11223478749a
121015361400
136508b19b9
143761b5b7a
152077b80b6
hex1369fe300

5211415296 has 108 divisors (see below), whose sum is σ = 15122550352. Its totient is φ = 1725954048.

The previous prime is 5211415259. The next prime is 5211415303. The reversal of 5211415296 is 6925141125.

5211415296 is a `hidden beast` number, since 5 + 211 + 415 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5211415296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354525 + ... + 368931.

Almost surely, 25211415296 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 5211415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561275176).

5211415296 is an abundant number, since it is smaller than the sum of its proper divisors (9911135056).

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

5211415296 is a wasteful number, since it uses less digits than its factorization.

5211415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14569 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5211415296 is about 72190.1329545804. The cubic root of 5211415296 is about 1733.7450246292.

The spelling of 5211415296 in words is "five billion, two hundred eleven million, four hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 576 628 768 942 1152 1256 1413 1884 2304 2512 2826 3768 5024 5652 7536 10048 11304 14407 15072 20096 22608 28814 30144 40192 43221 45216 57628 60288 86442 90432 115256 120576 129663 172884 180864 230512 259326 345768 361728 461024 518652 691536 922048 1037304 1383072 1844096 2074608 2261899 2766144 3688192 4149216 4523798 5532288 6785697 8298432 9047596 11064576 13571394 16596864 18095192 20357091 27142788 33193728 36190384 40714182 54285576 72380768 81428364 108571152 144761536 162856728 217142304 289523072 325713456 434284608 579046144 651426912 868569216 1302853824 1737138432 2605707648 5211415296