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151627629040 = 2453161140173
BaseRepresentation
bin1000110100110110110…
…1100000000111110000
3112111101012010122011121
42031031231200013300
54441013133112130
6153353510152024
713645321403266
oct2151555400760
9474335118147
10151627629040
1159339930a18
1225477952614
13113b5839c74
1474a59d8436
153e26939d7a
hex234db601f0

151627629040 has 40 divisors (see below), whose sum is σ = 363906315648. Its totient is φ = 58694565120.

The previous prime is 151627629037. The next prime is 151627629059. The reversal of 151627629040 is 40926726151.

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

It is a congruent number.

It is an unprimeable number.

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, 30567607 + ... + 30572566.

Almost surely, 2151627629040 is an apocalyptic number.

151627629040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151627629040 is an abundant number, since it is smaller than the sum of its proper divisors (212278686608).

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

151627629040 is a wasteful number, since it uses less digits than its factorization.

151627629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61140217 (or 61140211 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 151627629040 in words is "one hundred fifty-one billion, six hundred twenty-seven million, six hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 61140173 122280346 244560692 305700865 489121384 611401730 978242768 1222803460 1895345363 2445606920 3790690726 4891213840 7581381452 9476726815 15162762904 18953453630 30325525808 37906907260 75813814520 151627629040