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152106553840 = 2451901331923
BaseRepresentation
bin1000110110101001000…
…0011101000111110000
3112112121120022112111011
42031222100131013300
54443003234210330
6153513215200304
713663225242433
oct2155220350760
9475546275434
10152106553840
115956520323a
1225590216094
1311460b23417
14750d46581a
153e539dd82a
hex236a41d1f0

152106553840 has 20 divisors (see below), whose sum is σ = 353647737864. Its totient is φ = 60842621504.

The previous prime is 152106553793. The next prime is 152106553847. The reversal of 152106553840 is 48355601251.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 152106553793 and 152106553802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152106553847) 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 3 ways as a sum of consecutive naturals, for example, 950665882 + ... + 950666041.

Almost surely, 2152106553840 is an apocalyptic number.

152106553840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152106553840 is an abundant number, since it is smaller than the sum of its proper divisors (201541184024).

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

152106553840 is a wasteful number, since it uses less digits than its factorization.

152106553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901331936 (or 1901331930 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 152106553840 in words is "one hundred fifty-two billion, one hundred six million, five hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1901331923 3802663846 7605327692 9506659615 15210655384 19013319230 30421310768 38026638460 76053276920 152106553840