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153213261032 = 231383109162839
BaseRepresentation
bin1000111010110000111…
…0001101010011101000
3112122110200210002100102
42032230032031103220
510002240043323112
6154215111524532
714032524142136
oct2165416152350
9478420702312
10153213261032
1159a82989787
122583a989748
13115a91b1c50
1475b642c756
153ebac4bbc2
hex23ac38d4e8

153213261032 has 64 divisors (see below), whose sum is σ = 315974736000. Its totient is φ = 69220479744.

The previous prime is 153213261031. The next prime is 153213261037. The reversal of 153213261032 is 230162312351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153213260986 and 153213261004.

It is not an unprimeable number, because it can be changed into a prime (153213261031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859469 + ... + 1022307.

It is an arithmetic number, because the mean of its divisors is an integer number (4937105250).

Almost surely, 2153213261032 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 153213261032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157987368000).

153213261032 is an abundant number, since it is smaller than the sum of its proper divisors (162761474968).

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

153213261032 is a wasteful number, since it uses less digits than its factorization.

153213261032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163050 (or 163046 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 153213261032 its reverse (230162312351), we get a palindrome (383375573383).

The spelling of 153213261032 in words is "one hundred fifty-three billion, two hundred thirteen million, two hundred sixty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 83 104 109 166 218 332 436 664 872 1079 1417 2158 2834 4316 5668 8632 9047 11336 18094 36188 72376 117611 162839 235222 325678 470444 651356 940888 1302712 2116907 4233814 8467628 13515637 16935256 17749451 27031274 35498902 54062548 70997804 108125096 141995608 175703281 230742863 351406562 461485726 702813124 922971452 1405626248 1473204433 1845942904 2946408866 5892817732 11785635464 19151657629 38303315258 76606630516 153213261032