Search a number
-
+
9133964352 = 26342960757
BaseRepresentation
bin10001000000110110…
…10011110001000000
3212120120011110120000
420200123103301000
5122201243324402
64110204320000
7442230262452
oct104033236100
925516143500
109133964352
113967980677
12192ab43000
13b27456346
146291282d2
15386d3ec1c
hex2206d3c40

9133964352 has 140 divisors (see below), whose sum is σ = 28010045580. Its totient is φ = 2939618304.

The previous prime is 9133964339. The next prime is 9133964353. The reversal of 9133964352 is 2534693319.

It can be written as a sum of positive squares in 2 ways, for example, as 5009242176 + 4124722176 = 70776^2 + 64224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9133964298 and 9133964307.

It is not an unprimeable number, because it can be changed into a prime (9133964353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119958 + ... + 180714.

Almost surely, 29133964352 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 9133964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005022790).

9133964352 is an abundant number, since it is smaller than the sum of its proper divisors (18876081228).

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

9133964352 is a wasteful number, since it uses less digits than its factorization.

9133964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60810 (or 60791 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 9133964352 is about 95571.7759173701. The cubic root of 9133964352 is about 2090.3536677044.

The spelling of 9133964352 in words is "nine billion, one hundred thirty-three million, nine hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 37584 50112 60757 75168 121514 150336 182271 243028 364542 486056 546813 729084 972112 1093626 1458168 1640439 1761953 1944224 2187252 2916336 3280878 3523906 3888448 4374504 4921317 5285859 5832672 6561756 7047812 8749008 9842634 10571718 11665344 13123512 14095624 15857577 17498016 19685268 21143436 26247024 28191248 31715154 34996032 39370536 42286872 47572731 52494048 56382496 63430308 78741072 84573744 95145462 104988096 112764992 126860616 142718193 157482144 169147488 190290924 253721232 285436386 314964288 338294976 380581848 507442464 570872772 761163696 1014884928 1141745544 1522327392 2283491088 3044654784 4566982176 9133964352