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153852111920 = 24513147934723
BaseRepresentation
bin1000111101001001001…
…1001110110000110000
3112201010012220002000102
42033102103032300300
510010042120040140
6154402332411532
714054412242153
oct2172223166060
9481105802012
10153852111920
115a280562921
1225998916ba8
131167b661320
147637209c9a
154006d90e15
hex23d24cec30

153852111920 has 40 divisors (see below), whose sum is σ = 385222021296. Its totient is φ = 56806933248.

The previous prime is 153852111901. The next prime is 153852111923. The reversal of 153852111920 is 29111258351.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (153852111923) 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 7 ways as a sum of consecutive naturals, for example, 73966322 + ... + 73968401.

Almost surely, 2153852111920 is an apocalyptic number.

153852111920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153852111920 is an abundant number, since it is smaller than the sum of its proper divisors (231369909376).

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

153852111920 is a wasteful number, since it uses less digits than its factorization.

153852111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147934749 (or 147934743 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 153852111920 in words is "one hundred fifty-three billion, eight hundred fifty-two million, one hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 147934723 295869446 591738892 739673615 1183477784 1479347230 1923151399 2366955568 2958694460 3846302798 5917388920 7692605596 9615756995 11834777840 15385211192 19231513990 30770422384 38463027980 76926055960 153852111920