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5219705760 = 253513978233
BaseRepresentation
bin1001101110001111…
…00110001110100000
3111110202210112012120
410313013212032200
541142221041020
62221540224240
7243230524023
oct46707461640
914422715176
105219705760
11223942a215
12101809b080
136525253b9
143773331ba
152083a4740
hex1371e63a0

5219705760 has 96 divisors (see below), whose sum is σ = 16560573120. Its totient is φ = 1381890048.

The previous prime is 5219705759. The next prime is 5219705861. The reversal of 5219705760 is 675079125.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27604 + ... + 105836.

It is an arithmetic number, because the mean of its divisors is an integer number (172505970).

Almost surely, 25219705760 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 5219705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280286560).

5219705760 is an abundant number, since it is smaller than the sum of its proper divisors (11340867360).

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

5219705760 is a wasteful number, since it uses less digits than its factorization.

5219705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78390 (or 78382 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 5219705760 is about 72247.5311688919. The cubic root of 5219705760 is about 1734.6639007679.

The spelling of 5219705760 in words is "five billion, two hundred nineteen million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 78233 156466 234699 312932 391165 469398 625864 782330 938796 1173495 1251728 1564660 1877592 2346990 2503456 3129320 3755184 4693980 6258640 7510368 9387960 10874387 12517280 18775920 21748774 32623161 37551840 43497548 54371935 65246322 86995096 108743870 130492644 163115805 173990192 217487740 260985288 326231610 347980384 434975480 521970576 652463220 869950960 1043941152 1304926440 1739901920 2609852880 5219705760