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96947874969 = 31137359221171
BaseRepresentation
bin101101001001010001…
…0110010110010011001
3100021020110112022210220
41122102202302302121
53042022123444334
6112312013230253
710001313224541
oct1322242626231
9307213468726
1096947874969
113812a603420
1216957792389
1391b03a77ba
14499996a321
1527c62eb449
hex16928b2c99

96947874969 has 32 divisors (see below), whose sum is σ = 145230382080. Its totient is φ = 57008779200.

The previous prime is 96947874967. The next prime is 96947874973.

96947874969 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96947874969 - 21 = 96947874967 is a prime.

It is a super-2 number, since 2×969478749692 (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 96947874894 and 96947874903.

It is not an unprimeable number, because it can be changed into a prime (96947874967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327754 + ... + 548924.

It is an arithmetic number, because the mean of its divisors is an integer number (4538449440).

Almost surely, 296947874969 is an apocalyptic number.

It is an amenable number.

96947874969 is a deficient number, since it is larger than the sum of its proper divisors (48282507111).

96947874969 is a wasteful number, since it uses less digits than its factorization.

96947874969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221581.

The product of its digits is 1481421312, while the sum is 78.

The spelling of 96947874969 in words is "ninety-six billion, nine hundred forty-seven million, eight hundred seventy-four thousand, nine hundred sixty-nine".

Divisors: 1 3 11 33 37 111 359 407 1077 1221 3949 11847 13283 39849 146113 221171 438339 663513 2432881 7298643 8183327 24549981 79400389 90016597 238201167 270049791 873404279 2620212837 2937814393 8813443179 32315958323 96947874969