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9056544952 = 2372132377269
BaseRepresentation
bin10000110111100111…
…11110100010111000
3212101011111011002211
420123303332202320
5122021433414302
64054401104504
7440300235100
oct103363764270
925334434084
109056544952
1139282022a4
121909028134
13b143ba750
1461cb34200
1538014aad7
hex21bcfe8b8

9056544952 has 96 divisors (see below), whose sum is σ = 22198125600. Its totient is φ = 3426990336.

The previous prime is 9056544943. The next prime is 9056544989. The reversal of 9056544952 is 2594456509.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 9056544896 and 9056544905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78574 + ... + 155842.

It is an arithmetic number, because the mean of its divisors is an integer number (231230475).

Almost surely, 29056544952 is an apocalyptic number.

9056544952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9056544952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099062800).

9056544952 is an abundant number, since it is smaller than the sum of its proper divisors (13141580648).

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

9056544952 is a wasteful number, since it uses less digits than its factorization.

9056544952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77325 (or 77314 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The square root of 9056544952 is about 95165.8812390239. The cubic root of 9056544952 is about 2084.4309628015.

The spelling of 9056544952 in words is "nine billion, fifty-six million, five hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 49 52 56 91 92 98 104 161 182 184 196 299 322 364 392 598 637 644 728 1127 1196 1274 1288 2093 2254 2392 2548 4186 4508 5096 8372 9016 14651 16744 29302 58604 77269 117208 154538 309076 540883 618152 1004497 1081766 1777187 2008994 2163532 3554374 3786181 4017988 4327064 7031479 7108748 7572362 8035976 12440309 14062958 14217496 15144724 23103431 24880618 28125916 30289448 46206862 49220353 49761236 56251832 87082163 92413724 98440706 99522472 161724017 174164326 184827448 196881412 323448034 348328652 393762824 646896068 696657304 1132068119 1293792136 2264136238 4528272476 9056544952