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99672915969 = 32116175721803
BaseRepresentation
bin101110011010011111…
…0000000000000000001
3100112021101011202022100
41130310332000000001
53113112231302334
6113442240301013
710125662543514
oct1346476000001
9315241152270
1099672915969
11392a8843020
1217398311769
139525b1acb3
144b7783ad7b
1528d567ac99
hex1734f80001

99672915969 has 48 divisors (see below), whose sum is σ = 159853322304. Its totient is φ = 59336323200.

The previous prime is 99672915967. The next prime is 99672915983. The reversal of 99672915969 is 96951927699.

It is a happy number.

99672915969 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 29 + 1 + 596 + 9 = 666.

It is not a de Polignac number, because 99672915969 - 21 = 99672915967 is a prime.

It is a super-2 number, since 2×996729159692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99672915897 and 99672915906.

It is not an unprimeable number, because it can be changed into a prime (99672915967) 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, 4560622 + ... + 4582424.

It is an arithmetic number, because the mean of its divisors is an integer number (3330277548).

It is a Proth number, since it is equal to 190111 ⋅ 219 + 1 and 190111 < 219.

Almost surely, 299672915969 is an apocalyptic number.

99672915969 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

99672915969 is a deficient number, since it is larger than the sum of its proper divisors (60180406335).

99672915969 is a wasteful number, since it uses less digits than its factorization.

99672915969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22638 (or 22635 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 72.

The spelling of 99672915969 in words is "ninety-nine billion, six hundred seventy-two million, nine hundred fifteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 61 99 183 549 671 757 2013 2271 6039 6813 8327 21803 24981 46177 65409 74943 138531 196227 239833 415593 507947 719499 1329983 1523841 2158497 3989949 4571523 11969847 14629813 16504871 43889439 49514613 131668317 148543839 181553581 544660743 1006797131 1633982229 3020391393 9061174179 11074768441 33224305323 99672915969