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145747869696 = 222351113
BaseRepresentation
bin1000011110111101000…
…0000000000000000000
3111221012102022220200000
42013233100000000000
54341442423312241
6150542230400000
713346524310622
oct2075720000000
9457172286600
10145747869696
11568a1966780
12242b6800000
1310989650820
1470a8b68c12
153bd0653eb6
hex21ef400000

145747869696 has 552 divisors, whose sum is σ = 512980095264. Its totient is φ = 40768634880.

The previous prime is 145747869689. The next prime is 145747869703. The reversal of 145747869696 is 696968747541.

It is a happy number.

145747869696 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 478 + 69 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (145747869689) and next prime (145747869703).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11211374586 + ... + 11211374598.

Almost surely, 2145747869696 is an apocalyptic number.

145747869696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145747869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256490047632).

145747869696 is an abundant number, since it is smaller than the sum of its proper divisors (367232225568).

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

145747869696 is an frugal number, since it uses more digits than its factorization.

145747869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 145747869696 in words is "one hundred forty-five billion, seven hundred forty-seven million, eight hundred sixty-nine thousand, six hundred ninety-six".