Search a number
-
+
147521003328 = 26333710932111
BaseRepresentation
bin1000100101100011101…
…1111101111101000000
3112002202222210102202000
42021120323331331000
54404110334101303
6151434211024000
713441464560466
oct2113073757500
9462688712660
10147521003328
1157621840276
122471059b000
1310bacac501a
1471d644a836
153c86151da3
hex2258efdf40

147521003328 has 224 divisors, whose sum is σ = 446024325120. Its totient is φ = 47778232320.

The previous prime is 147521003317. The next prime is 147521003339. The reversal of 147521003328 is 823300125741.

It is an interprime number because it is at equal distance from previous prime (147521003317) and next prime (147521003339).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147521003292 and 147521003301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69880993 + ... + 69883103.

Almost surely, 2147521003328 is an apocalyptic number.

147521003328 is a gapful number since it is divisible by the number (18) 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 147521003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223012162560).

147521003328 is an abundant number, since it is smaller than the sum of its proper divisors (298503321792).

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

147521003328 is a wasteful number, since it uses less digits than its factorization.

147521003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 147521003328 in words is "one hundred forty-seven billion, five hundred twenty-one million, three thousand, three hundred twenty-eight".