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5216835456 = 2734771881
BaseRepresentation
bin1001101101111001…
…01001011110000000
3111110120101200220000
410312330221132000
541141002213311
62221354520000
7243164240550
oct46674513600
914416350800
105216835456
112237849768
121017136000
13651a5bab1
14376bc7160
15207ed9056
hex136f29780

5216835456 has 160 divisors (see below), whose sum is σ = 17743352880. Its totient is φ = 1490503680.

The previous prime is 5216835431. The next prime is 5216835487. The reversal of 5216835456 is 6545386125.

5216835456 is a `hidden beast` number, since 5 + 2 + 168 + 35 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36636 + ... + 108516.

Almost surely, 25216835456 is an apocalyptic number.

5216835456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5216835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871676440).

5216835456 is an abundant number, since it is smaller than the sum of its proper divisors (12526517424).

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

5216835456 is an equidigital number, since it uses as much as digits as its factorization.

5216835456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71914 (or 71893 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 5216835456 is about 72227.6640630167. The cubic root of 5216835456 is about 1734.3458799260.

The spelling of 5216835456 in words is "five billion, two hundred sixteen million, eight hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 71881 72576 143762 215643 287524 431286 503167 575048 646929 862572 1006334 1150096 1293858 1509501 1725144 1940787 2012668 2300192 2587716 3019002 3450288 3881574 4025336 4528503 4600384 5175432 5822361 6038004 6900576 7763148 8050672 9057006 9200768 10350864 11644722 12076008 13585509 13801152 15526296 16101344 18114012 20701728 23289444 24152016 27171018 27602304 31052592 32202688 36228024 40756527 41403456 46578888 48304032 54342036 62105184 64405376 72456048 81513054 82806912 93157776 96608064 108684072 124210368 144912096 163026108 186315552 193216128 217368144 248420736 289824192 326052216 372631104 434736288 579648384 652104432 745262208 869472576 1304208864 1738945152 2608417728 5216835456