Search a number
-
+
9259795470016 = 267131589937409
BaseRepresentation
bin1000011010111111011011…
…0100011101011011000000
31012210020011001211010012101
42012233312310131123000
52203203030120020031
631405520305040144
71643666235554530
oct206576664353300
935706131733171
109259795470016
112a5006a15aa43
12105673a926054
1352226c456b90
142402684194c0
15110d06452361
hex86bf6d1d6c0

9259795470016 has 56 divisors (see below), whose sum is σ = 22615269719840. Its totient is φ = 3663215788032.

The previous prime is 9259795469927. The next prime is 9259795470131. The reversal of 9259795470016 is 6100745979529.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9259795470016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794962881 + ... + 794974528.

It is an arithmetic number, because the mean of its divisors is an integer number (403844102140).

Almost surely, 29259795470016 is an apocalyptic number.

It is an amenable number.

9259795470016 is an abundant number, since it is smaller than the sum of its proper divisors (13355474249824).

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

9259795470016 is a wasteful number, since it uses less digits than its factorization.

9259795470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589937441 (or 1589937431 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 64.

The spelling of 9259795470016 in words is "nine trillion, two hundred fifty-nine billion, seven hundred ninety-five million, four hundred seventy thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 1589937409 3179874818 6359749636 11129561863 12719499272 20669186317 22259123726 25438998544 41338372634 44518247452 50877997088 82676745268 89036494904 101755994176 144684304219 165353490536 178072989808 289368608438 330706981072 356145979616 578737216876 661413962144 712291959232 1157474433752 1322827924288 2314948867504 4629897735008 9259795470016