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5664212736 = 28371381047
BaseRepresentation
bin1010100011001110…
…10000011100000000
3112121202012211010220
411101213100130000
543100014301421
62334015423040
7260236004520
oct52147203400
915552184126
105664212736
112447333956
121120b24a80
136c364aa90
143ba3a1680
1523240a3c6
hex1519d0700

5664212736 has 144 divisors (see below), whose sum is σ = 18554156544. Its totient is φ = 1493839872.

The previous prime is 5664212717. The next prime is 5664212809. The reversal of 5664212736 is 6372124665.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 29365 + ... + 110411.

Almost surely, 25664212736 is an apocalyptic number.

5664212736 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 5664212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277078272).

5664212736 is an abundant number, since it is smaller than the sum of its proper divisors (12889943808).

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

5664212736 is a wasteful number, since it uses less digits than its factorization.

5664212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81086 (or 81072 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 5664212736 is about 75260.9642244902. The cubic root of 5664212736 is about 1782.5696941946.

It can be divided in two parts, 56642 and 12736, that added together give a triangular number (69378 = T372).

The spelling of 5664212736 in words is "five billion, six hundred sixty-four million, two hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 81047 162094 243141 324188 486282 567329 648376 972564 1053611 1134658 1296752 1701987 1945128 2107222 2269316 2593504 3160833 3403974 3890256 4214444 4538632 5187008 6321666 6807948 7375277 7780512 8428888 9077264 10374016 12643332 13615896 14750554 15561024 16857776 18154528 20748032 22125831 25286664 27231792 29501108 31122048 33715552 36309056 44251662 50573328 54463584 59002216 62244096 67431104 72618112 88503324 101146656 108927168 118004432 134862208 145236224 177006648 202293312 217854336 236008864 269724416 354013296 404586624 435708672 472017728 708026592 809173248 944035456 1416053184 1888070912 2832106368 5664212736