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9712491712 = 267113753267
BaseRepresentation
bin10010000101110100…
…01101110011000000
3221001212202200220021
421002322031303000
5124342344213322
64243432223224
7462453550240
oct110272156300
927055680807
109712491712
1141344a2860
121a7083ab14
13bba274421
14681cc1b20
153bca1a4c7
hex242e8dcc0

9712491712 has 112 divisors (see below), whose sum is σ = 24678851328. Its totient is φ = 3681745920.

The previous prime is 9712491667. The next prime is 9712491713. The reversal of 9712491712 is 2171942179.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (9712491713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155703 + ... + 208969.

Almost surely, 29712491712 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 9712491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339425664).

9712491712 is an abundant number, since it is smaller than the sum of its proper divisors (14966359616).

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

9712491712 is a wasteful number, since it uses less digits than its factorization.

9712491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53324 counting only the distinct ones).

The product of its digits is 63504, while the sum is 43.

The square root of 9712491712 is about 98551.9746732657. The cubic root of 9712491712 is about 2133.5863312798.

The spelling of 9712491712 in words is "nine billion, seven hundred twelve million, four hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 148 154 176 224 259 296 308 352 407 448 518 592 616 704 814 1036 1184 1232 1628 2072 2368 2464 2849 3256 4144 4928 5698 6512 8288 11396 13024 16576 22792 26048 45584 53267 91168 106534 182336 213068 372869 426136 585937 745738 852272 1171874 1491476 1704544 1970879 2343748 2982952 3409088 3941758 4101559 4687496 5965904 7883516 8203118 9374992 11931808 13796153 15767032 16406236 18749984 21679669 23863616 27592306 31534064 32812472 37499968 43359338 55184612 63068128 65624944 86718676 110369224 126136256 131249888 151757683 173437352 220738448 262499776 303515366 346874704 441476896 607030732 693749408 882953792 1214061464 1387498816 2428122928 4856245856 9712491712