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9139537152 = 283648973
BaseRepresentation
bin10001000001100001…
…00100010100000000
3212120221122121000000
420200300210110000
5122204210142102
64110524000000
7442325532624
oct104060442400
925527577000
109139537152
113970037599
121930990000
13b28657a65
14629b79184
1538759101c
hex220c24500

9139537152 has 126 divisors (see below), whose sum is σ = 27353105402. Its totient is φ = 3046450176.

The previous prime is 9139537109. The next prime is 9139537153. The reversal of 9139537152 is 2517359319.

It can be written as a sum of positive squares in only one way, i.e., 5585469696 + 3554067456 = 74736^2 + 59616^2 .

It is a super-2 number, since 2×91395371522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9139537098 and 9139537107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9139537153) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 162138 + ... + 211110.

Almost surely, 29139537152 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 9139537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676552701).

9139537152 is an abundant number, since it is smaller than the sum of its proper divisors (18213568250).

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

9139537152 is an frugal number, since it uses more digits than its factorization.

9139537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49007 (or 48978 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 9139537152 is about 95600.9265227069. The cubic root of 9139537152 is about 2090.7787023757.

The spelling of 9139537152 in words is "nine billion, one hundred thirty-nine million, five hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 48973 62208 93312 97946 146919 186624 195892 293838 391784 440757 587676 783568 881514 1175352 1322271 1567136 1763028 2350704 2644542 3134272 3526056 3966813 4701408 5289084 6268544 7052112 7933626 9402816 10578168 11900439 12537088 14104224 15867252 18805632 21156336 23800878 28208448 31734504 35701317 37611264 42312672 47601756 56416896 63469008 71402634 84625344 95203512 112833792 126938016 142805268 169250688 190407024 253876032 285610536 338501376 380814048 507752064 571221072 761628096 1015504128 1142442144 1523256192 2284884288 3046512384 4569768576 9139537152