Search a number
-
+
9134237472 = 253713833499
BaseRepresentation
bin10001000000111000…
…10110011100100000
3212120120200100012120
420200130112130200
5122201331044342
64110214224240
7442232510643
oct104034263440
925516610176
109134237472
113968047898
12192b055080
13b27520759
14629199a5a
15386d95aec
hex220716720

9134237472 has 96 divisors (see below), whose sum is σ = 24385536000. Its totient is φ = 2993168640.

The previous prime is 9134237407. The next prime is 9134237473. The reversal of 9134237472 is 2747324319.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9134237473) 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, 2608779 + ... + 2612277.

It is an arithmetic number, because the mean of its divisors is an integer number (254016000).

Almost surely, 29134237472 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 9134237472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768000).

9134237472 is an abundant number, since it is smaller than the sum of its proper divisors (15251298528).

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

9134237472 is a wasteful number, since it uses less digits than its factorization.

9134237472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3958 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 9134237472 is about 95573.2047804195. The cubic root of 9134237472 is about 2090.3745024585.

The spelling of 9134237472 in words is "nine billion, one hundred thirty-four million, two hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 383 426 568 766 852 1136 1149 1532 1704 2272 2298 3064 3408 3499 4596 6128 6816 6998 9192 10497 12256 13996 18384 20994 27193 27992 36768 41988 54386 55984 81579 83976 108772 111968 163158 167952 217544 248429 326316 335904 435088 496858 652632 745287 870176 993716 1305264 1340117 1490574 1987432 2610528 2680234 2981148 3974864 4020351 5360468 5962296 7949728 8040702 10720936 11924592 16081404 21441872 23849184 32162808 42883744 64325616 95148307 128651232 190296614 285444921 380593228 570889842 761186456 1141779684 1522372912 2283559368 3044745824 4567118736 9134237472