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153053138752 = 2617313823441
BaseRepresentation
bin1000111010001010101…
…1011000111101000000
3112122001112111000212121
42032202223120331000
510001423100420002
6154151151534024
714025541133263
oct2164253307500
9478045430777
10153053138752
1159a00563518
12257b522a314
1311581c7a937
14759d06acda
153eabb6d237
hex23a2ad8f40

153053138752 has 28 divisors (see below), whose sum is σ = 305470421316. Its totient is φ = 76084213760.

The previous prime is 153053138723. The next prime is 153053138761. The reversal of 153053138752 is 257831350351.

It can be written as a sum of positive squares in 2 ways, for example, as 100068464896 + 52984673856 = 316336^2 + 230184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153053138699 and 153053138708.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6900649 + ... + 6922792.

Almost surely, 2153053138752 is an apocalyptic number.

It is an amenable number.

153053138752 is a deficient number, since it is larger than the sum of its proper divisors (152417282564).

153053138752 is a wasteful number, since it uses less digits than its factorization.

153053138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823626 (or 13823616 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 153053138752 in words is "one hundred fifty-three billion, fifty-three million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 173 346 692 1384 2768 5536 11072 13823441 27646882 55293764 110587528 221175056 442350112 884700224 2391455293 4782910586 9565821172 19131642344 38263284688 76526569376 153053138752