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1994729472 = 21132313491
BaseRepresentation
bin111011011100101…
…0010100000000000
312011000102202102100
41312321102200000
513041122320342
6525533550400
7100300630551
oct16671224000
95130382370
101994729472
11933a7785a
12478045400
1325a3503c8
1414ccc6328
15ba1c0e4c
hex76e52800

1994729472 has 144 divisors (see below), whose sum is σ = 5948691840. Its totient is φ = 643276800.

The previous prime is 1994729447. The next prime is 1994729483. The reversal of 1994729472 is 2749274991.

1994729472 is a `hidden beast` number, since 19 + 9 + 472 + 94 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569647 + ... + 573137.

It is an arithmetic number, because the mean of its divisors is an integer number (41310360).

Almost surely, 21994729472 is an apocalyptic number.

1994729472 is a gapful number since it is divisible by the number (12) 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 1994729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974345920).

1994729472 is an abundant number, since it is smaller than the sum of its proper divisors (3953962368).

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

1994729472 is a wasteful number, since it uses less digits than its factorization.

1994729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3527 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1994729472 is about 44662.3943827467. The cubic root of 1994729472 is about 1258.8133347551.

The spelling of 1994729472 in words is "one billion, nine hundred ninety-four million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3491 3968 4464 4608 5952 6144 6982 7936 8928 9216 10473 11904 13964 15872 17856 18432 20946 23808 27928 31419 31744 35712 41892 47616 55856 62838 63488 71424 83784 95232 108221 111712 125676 142848 167568 190464 216442 223424 251352 285696 324663 335136 432884 446848 502704 571392 649326 670272 865768 893696 973989 1005408 1298652 1340544 1731536 1787392 1947978 2010816 2597304 2681088 3463072 3574784 3895956 4021632 5194608 5362176 6926144 7149568 7791912 8043264 10389216 10724352 13852288 15583824 16086528 20778432 21448704 27704576 31167648 32173056 41556864 55409152 62335296 64346112 83113728 110818304 124670592 166227456 221636608 249341184 332454912 498682368 664909824 997364736 1994729472