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3483784030375 = 5311171492713691
BaseRepresentation
bin110010101100100001101…
…101011010100010100111
3110100001020220021101021001
4302230201231122202213
5424034242202433000
611224232302134131
7506460262444165
oct62544155324247
913301226241231
103483784030375
111123512299190
12483220281347
131c369a23867c
14c088a60a235
156094b92046a
hex32b21b5a8a7

3483784030375 has 128 divisors (see below), whose sum is σ = 5075749785600. Its totient is φ = 2359238400000.

The previous prime is 3483784030369. The next prime is 3483784030411. The reversal of 3483784030375 is 5730304873843.

It is a happy number.

3483784030375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3483784030375 - 23 = 3483784030367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 943857280 + ... + 943860970.

It is an arithmetic number, because the mean of its divisors is an integer number (39654295200).

Almost surely, 23483784030375 is an apocalyptic number.

3483784030375 is a deficient number, since it is larger than the sum of its proper divisors (1591965755225).

3483784030375 is a wasteful number, since it uses less digits than its factorization.

3483784030375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 3483784030375 in words is "three trillion, four hundred eighty-three billion, seven hundred eighty-four million, thirty thousand, three hundred seventy-five".

Divisors: 1 5 11 17 25 55 85 125 149 187 271 275 425 745 935 1355 1375 1639 2125 2533 2981 3691 3725 4607 4675 6775 8195 12665 14905 18455 18625 23035 23375 27863 33875 40379 40601 40975 50677 62747 63325 74525 92275 115175 139315 201895 203005 204875 253385 313735 316625 372625 444169 461375 549959 575875 686443 690217 696575 1000261 1009475 1015025 1266925 1568675 2220845 2749795 3432215 3451085 3482875 5001305 5047375 5075125 6049549 6334625 7550873 7843375 9349303 11002871 11104225 13748975 17004437 17161075 17255425 25006525 30247745 37754365 46746515 55014355 55521125 68744875 85022185 85805375 86277125 102842333 125032625 149038889 151238725 187048807 188771825 233732575 275071775 425110925 514211665 745194445 756193625 935244035 943859125 1168662875 1375358875 1639427779 2125554625 2533661113 2571058325 3725972225 4676220175 8197138895 12668305565 12855291625 18629861125 23381100875 27870272243 40985694475 63341527825 139351361215 204928472375 316707639125 696756806075 3483784030375