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5972014656 = 263742667
BaseRepresentation
bin1011000111111010…
…11011011001000000
3120102012101210000000
411203331123121000
544212313432111
62424333000000
7300664200306
oct54375333100
916365353000
105972014656
112595057003
1211a8023000
1374234aaaa
14409206276
1524e45ac56
hex163f5b640

5972014656 has 112 divisors (see below), whose sum is σ = 17773782080. Its totient is φ = 1990624896.

The previous prime is 5972014597. The next prime is 5972014661. The reversal of 5972014656 is 6564102795.

5972014656 is a `hidden beast` number, since 597 + 2 + 0 + 1 + 4 + 6 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118635 + ... + 161301.

Almost surely, 25972014656 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 5972014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886891040).

5972014656 is an abundant number, since it is smaller than the sum of its proper divisors (11801767424).

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

5972014656 is an frugal number, since it uses more digits than its factorization.

5972014656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42700 (or 42672 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5972014656 is about 77278.8111709801. The cubic root of 5972014656 is about 1814.2910365403.

The spelling of 5972014656 in words is "five billion, nine hundred seventy-two million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 34992 42667 46656 69984 85334 128001 139968 170668 256002 341336 384003 512004 682672 768006 1024008 1152009 1365344 1536012 2048016 2304018 2730688 3072024 3456027 4096032 4608036 6144048 6912054 8192064 9216072 10368081 12288096 13824108 18432144 20736162 24576192 27648216 31104243 36864288 41472324 55296432 62208486 73728576 82944648 93312729 110592864 124416972 165889296 186625458 221185728 248833944 331778592 373250916 497667888 663557184 746501832 995335776 1493003664 1990671552 2986007328 5972014656