Search a number
-
+
9472789004328 = 2332137321899137
BaseRepresentation
bin1000100111011000111000…
…1110010100000000101000
31020112120220221201201220100
42021312032032110000220
52220200232441114303
632051423355425400
71665246354000006
oct211661616240050
936476827651810
109472789004328
11302242948a851
12108ba81a55260
135393846c2aa0
1424a6b2061a76
1511662049c8a3
hex89d8e394028

9472789004328 has 144 divisors (see below), whose sum is σ = 28012646336220. Its totient is φ = 2874775339008.

The previous prime is 9472789004303. The next prime is 9472789004333. The reversal of 9472789004328 is 8234009872749.

9472789004328 is a `hidden beast` number, since 9 + 47 + 2 + 78 + 90 + 0 + 432 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4394968430724 + 5077820573604 = 2096418^2 + 2253402^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4038376 + ... + 5937512.

Almost surely, 29472789004328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9472789004328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006323168110).

9472789004328 is an abundant number, since it is smaller than the sum of its proper divisors (18539857331892).

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

9472789004328 is a wasteful number, since it uses less digits than its factorization.

9472789004328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899308 (or 1899228 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 9472789004328 in words is "nine trillion, four hundred seventy-two billion, seven hundred eighty-nine million, four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 1314 1752 1898 2628 2847 3796 5256 5329 5694 7592 8541 10658 11388 15987 17082 21316 22776 31974 34164 42632 47961 63948 68328 69277 95922 127896 138554 191844 207831 277108 383688 415662 554216 623493 831324 1246986 1662648 1899137 2493972 3798274 4987944 5697411 7596548 11394822 15193096 17092233 22789644 24688781 34184466 45579288 49377562 68368932 74066343 98755124 136737864 138637001 148132686 197510248 222199029 277274002 296265372 415911003 444398058 554548004 592530744 831822006 888796116 1109096008 1247733009 1663644012 1777592232 1802281013 2495466018 3327288024 3604562026 4990932036 5406843039 7209124052 9981864072 10120501073 10813686078 14418248104 16220529117 20241002146 21627372156 30361503219 32441058234 40482004292 43254744312 60723006438 64882116468 80964008584 91084509657 121446012876 129764232936 131566513949 182169019314 242892025752 263133027898 364338038628 394699541847 526266055796 728676077256 789399083694 1052532111592 1184098625541 1578798167388 2368197251082 3157596334776 4736394502164 9472789004328