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151283349720 = 23325420231527
BaseRepresentation
bin1000110011100100110…
…0001011100011011000
3112110111012022102201200
42030321030023203120
54434312014142340
6153255411114200
713633641153426
oct2147114134330
9473435272650
10151283349720
1159182563858
12253a05a2960
131135c4078a9
147471dba116
153e065d1330
hex233930b8d8

151283349720 has 48 divisors (see below), whose sum is σ = 491670887760. Its totient is φ = 40342226496.

The previous prime is 151283349719. The next prime is 151283349799. The reversal of 151283349720 is 27943382151.

It is a happy number.

151283349720 is a `hidden beast` number, since 1 + 5 + 1 + 283 + 349 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 210115404 + ... + 210116123.

It is an arithmetic number, because the mean of its divisors is an integer number (10243143495).

Almost surely, 2151283349720 is an apocalyptic number.

151283349720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151283349720 is an abundant number, since it is smaller than the sum of its proper divisors (340387538040).

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

151283349720 is a wasteful number, since it uses less digits than its factorization.

151283349720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420231544 (or 420231537 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 151283349720 in words is "one hundred fifty-one billion, two hundred eighty-three million, three hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 420231527 840463054 1260694581 1680926108 2101157635 2521389162 3361852216 3782083743 4202315270 5042778324 6303472905 7564167486 8404630540 10085556648 12606945810 15128334972 16809261080 18910418715 25213891620 30256669944 37820837430 50427783240 75641674860 151283349720