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2093163408 = 243273756123
BaseRepresentation
bin111110011000011…
…0010001110010000
312101212122201101200
41330300302032100
513241322212113
6543411431200
7102604411140
oct17460621620
95355581350
102093163408
11984599716
124a4bb5500
1327486613b
1415bdca920
15c3b66873
hex7cc32390

2093163408 has 120 divisors (see below), whose sum is σ = 6875863488. Its totient is φ = 581872896.

The previous prime is 2093163389. The next prime is 2093163433. The reversal of 2093163408 is 8043613902.

2093163408 is a `hidden beast` number, since 2 + 0 + 93 + 163 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9235 + ... + 65357.

Almost surely, 22093163408 is an apocalyptic number.

2093163408 is a gapful number since it is divisible by the number (28) 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 2093163408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437931744).

2093163408 is an abundant number, since it is smaller than the sum of its proper divisors (4782700080).

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

2093163408 is a wasteful number, since it uses less digits than its factorization.

2093163408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56181 (or 56172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2093163408 is about 45751.1028063805. The cubic root of 2093163408 is about 1279.1880038816.

The spelling of 2093163408 in words is "two billion, ninety-three million, one hundred sixty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 56123 112246 168369 224492 336738 392861 448984 505107 673476 785722 897968 1010214 1178583 1346952 1571444 2020428 2076551 2357166 2693904 3142888 3535749 4040856 4153102 4714332 6229653 6285776 7071498 8081712 8306204 9428664 12459306 14142996 14535857 16612408 18688959 18857328 24918612 28285992 29071714 33224816 37377918 43607571 49837224 56571984 58143428 74755836 87215142 99674448 116286856 130822713 149511672 174430284 232573712 261645426 299023344 348860568 523290852 697721136 1046581704 2093163408