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6996968208 = 2432477114561
BaseRepresentation
bin1101000010000110…
…10100001100010000
3200001122000210221200
412201003110030100
5103312210440313
63114145151200
7335251151136
oct64103241420
920048023850
106996968208
112a7067385a
12143332b500
138767b3c99
144a53ab756
152ae41ab73
hex1a10d4310

6996968208 has 120 divisors (see below), whose sum is σ = 20281487616. Its totient is φ = 2250393600.

The previous prime is 6996968159. The next prime is 6996968261. The reversal of 6996968208 is 8028696996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473248 + ... + 487808.

Almost surely, 26996968208 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 6996968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140743808).

6996968208 is an abundant number, since it is smaller than the sum of its proper divisors (13284519408).

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

6996968208 is a wasteful number, since it uses less digits than its factorization.

6996968208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 6996968208 is about 83647.8822684711. The cubic root of 6996968208 is about 1912.6549710127.

The spelling of 6996968208 in words is "six billion, nine hundred ninety-six million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 71 72 94 141 142 144 188 213 282 284 376 423 426 564 568 639 752 846 852 1128 1136 1278 1692 1704 2256 2556 3337 3384 3408 5112 6674 6768 10011 10224 13348 14561 20022 26696 29122 30033 40044 43683 53392 58244 60066 80088 87366 116488 120132 131049 160176 174732 232976 240264 262098 349464 480528 524196 684367 698928 1033831 1048392 1368734 2053101 2067662 2096784 2737468 3101493 4106202 4135324 5474936 6159303 6202986 8212404 8270648 9304479 10949872 12318606 12405972 16424808 16541296 18608958 24637212 24811944 32849616 37217916 48590057 49274424 49623888 74435832 97180114 98548848 145770171 148871664 194360228 291540342 388720456 437310513 583080684 777440912 874621026 1166161368 1749242052 2332322736 3498484104 6996968208