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6996472101 = 3241101227827
BaseRepresentation
bin1101000010000010…
…11011000100100101
3200001121002121102100
412201001123010211
5103312044101401
63114130402313
7335244013563
oct64101330445
920047077370
106996472101
112a70365053
121433130399
1387666c228
144a52bca33
152ae36db86
hex1a105b125

6996472101 has 48 divisors (see below), whose sum is σ = 10513758528. Its totient is φ = 4480224000.

The previous prime is 6996472099. The next prime is 6996472103. The reversal of 6996472101 is 1012746996.

It is an interprime number because it is at equal distance from previous prime (6996472099) and next prime (6996472103).

It is not a de Polignac number, because 6996472101 - 21 = 6996472099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996472103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8459650 + ... + 8460476.

It is an arithmetic number, because the mean of its divisors is an integer number (219036636).

Almost surely, 26996472101 is an apocalyptic number.

It is an amenable number.

6996472101 is a deficient number, since it is larger than the sum of its proper divisors (3517286427).

6996472101 is a wasteful number, since it uses less digits than its factorization.

6996472101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6996472101 is about 83644.9167672489. The cubic root of 6996472101 is about 1912.6097655314.

The spelling of 6996472101 in words is "six billion, nine hundred ninety-six million, four hundred seventy-two thousand, one hundred one".

Divisors: 1 3 9 41 101 123 227 303 369 681 827 909 2043 2481 4141 7443 9307 12423 22927 27921 33907 37269 68781 83527 83763 101721 187729 206343 250581 305163 563187 751743 940007 1689561 2820021 3424607 7696889 8460063 10273821 18960629 23090667 30821463 56881887 69272001 170645661 777385789 2332157367 6996472101