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153312402551 = 71114917974653
BaseRepresentation
bin1000111011001000100…
…0011001110001110111
3112122201121022222221112
42032302020121301313
510002440433340201
6154233012505235
714035136630360
oct2166210316167
9478647288845
10153312402551
115a023944220
122586801b21b
13115c38b4a79
1475c5678b67
153ec47d20bb
hex23b2219c77

153312402551 has 32 divisors (see below), whose sum is σ = 193503168000. Its totient is φ = 117997937280.

The previous prime is 153312402541. The next prime is 153312402569. The reversal of 153312402551 is 155204213351.

153312402551 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153312402551 - 210 = 153312401527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153312402511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016341 + ... + 2090993.

It is an arithmetic number, because the mean of its divisors is an integer number (6046974000).

Almost surely, 2153312402551 is an apocalyptic number.

153312402551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153312402551 is a deficient number, since it is larger than the sum of its proper divisors (40190765449).

153312402551 is a wasteful number, since it uses less digits than its factorization.

153312402551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74999.

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 153312402551 in words is "one hundred fifty-three billion, three hundred twelve million, four hundred two thousand, five hundred fifty-one".

Divisors: 1 7 11 77 149 179 1043 1253 1639 1969 11473 13783 26671 74653 186697 293381 522571 821183 2053667 5748281 11123297 13362887 77863079 93540209 122356267 146991757 856493869 1028942299 1991070163 13937491141 21901771793 153312402551