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234531793152 = 2832101793313
BaseRepresentation
bin1101101001101100101…
…1110010100100000000
3211102100220221112101100
43122123023302210000
512320310114340102
6255424210134400
722641626230536
oct3323313624400
9742326845340
10234531793152
11905120a0528
1239554281400
131916853cc87
14b4cc350156
156179d6ba1c
hex369b2f2900

234531793152 has 54 divisors (see below), whose sum is σ = 676212984902. Its totient is φ = 78177263616.

The previous prime is 234531793147. The next prime is 234531793157. The reversal of 234531793152 is 251397135432.

234531793152 is a `hidden beast` number, since 2 + 34 + 531 + 7 + 9 + 31 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (234531793147) and next prime (234531793157).

It can be written as a sum of positive squares in only one way, i.e., 139923876096 + 94607917056 = 374064^2 + 307584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234531793098 and 234531793107.

It is not an unprimeable number, because it can be changed into a prime (234531793157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50894353 + ... + 50898960.

Almost surely, 2234531793152 is an apocalyptic number.

It is an amenable number.

234531793152 is an abundant number, since it is smaller than the sum of its proper divisors (441681191750).

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

234531793152 is a wasteful number, since it uses less digits than its factorization.

234531793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101793335 (or 101793318 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 234531793152 in words is "two hundred thirty-four billion, five hundred thirty-one million, seven hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 101793313 203586626 305379939 407173252 610759878 814346504 916139817 1221519756 1628693008 1832279634 2443039512 3257386016 3664559268 4886079024 6514772032 7329118536 9772158048 13029544064 14658237072 19544316096 26059088128 29316474144 39088632192 58632948288 78177264384 117265896576 234531793152