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6972383904 = 2534110117539
BaseRepresentation
bin1100111111001011…
…00010001010100000
3122222220202210121220
412133211202022200
5103234412241104
63111510215040
7334532166603
oct63745421240
918886683556
106972383904
112a58802252
121427054480
13871687065
144a200c33a
152ac1b17d9
hex19f9622a0

6972383904 has 96 divisors (see below), whose sum is σ = 18935622720. Its totient is φ = 2244864000.

The previous prime is 6972383903. The next prime is 6972383923. The reversal of 6972383904 is 4093832796.

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

It is a super-2 number, since 2×69723839042 = 97228274609516562432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6972383903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388767 + ... + 406305.

It is an arithmetic number, because the mean of its divisors is an integer number (197246070).

Almost surely, 26972383904 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 6972383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467811360).

6972383904 is an abundant number, since it is smaller than the sum of its proper divisors (11963238816).

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

6972383904 is a wasteful number, since it uses less digits than its factorization.

6972383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 6972383904 is about 83500.8018165095. The cubic root of 6972383904 is about 1910.4122630095.

The spelling of 6972383904 in words is "six billion, nine hundred seventy-two million, three hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 101 123 164 202 246 303 328 404 492 606 656 808 984 1212 1312 1616 1968 2424 3232 3936 4141 4848 8282 9696 12423 16564 17539 24846 33128 35078 49692 52617 66256 70156 99384 105234 132512 140312 198768 210468 280624 397536 420936 561248 719099 841872 1438198 1683744 1771439 2157297 2876396 3542878 4314594 5314317 5752792 7085756 8629188 10628634 11505584 14171512 17258376 21257268 23011168 28343024 34516752 42514536 56686048 69033504 72628999 85029072 145257998 170058144 217886997 290515996 435773994 581031992 871547988 1162063984 1743095976 2324127968 3486191952 6972383904