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153006822112 = 2559293276593
BaseRepresentation
bin1000111001111111101…
…0101101001011100000
3112121221022022220101111
42032133322231023200
510001324221301422
6154142415113104
714024436346324
oct2163772551340
9477838286344
10153006822112
11599873a9101
12257a1812794
13115754b1c41
147596c51984
153ea7a6ea77
hex239fead2e0

153006822112 has 48 divisors (see below), whose sum is σ = 307384444080. Its totient is φ = 74949793792.

The previous prime is 153006822091. The next prime is 153006822113. The reversal of 153006822112 is 211228600351.

It is a super-2 number, since 2×1530068221122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153006822113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414888 + ... + 691480.

It is an arithmetic number, because the mean of its divisors is an integer number (6403842585).

Almost surely, 2153006822112 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 153006822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153692222040).

153006822112 is an abundant number, since it is smaller than the sum of its proper divisors (154377621968).

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

153006822112 is a wasteful number, since it uses less digits than its factorization.

153006822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276955 (or 276947 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 153006822112 in words is "one hundred fifty-three billion, six million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 118 236 293 472 586 944 1172 1888 2344 4688 9376 17287 34574 69148 138296 276592 276593 553184 553186 1106372 2212744 4425488 8850976 16318987 32637974 65275948 81041749 130551896 162083498 261103792 324166996 522207584 648333992 1296667984 2593335968 4781463191 9562926382 19125852764 38251705528 76503411056 153006822112