Search a number
-
+
147923435520 = 215335717281
BaseRepresentation
bin1000100111000011101…
…1001000000000000000
3112010211001001002221000
42021300323020000000
54410421344414040
6151542144332000
713454452312260
oct2116073100000
9463731032830
10147923435520
1157808a17563
1224803314000
1310c452a8693
147233a857a0
153cab646130
hex2270ec8000

147923435520 has 1024 divisors, whose sum is σ = 638698867200. Its totient is φ = 31708938240.

The previous prime is 147923435383. The next prime is 147923435531. The reversal of 147923435520 is 25534329741.

It is a happy number.

147923435520 is a `hidden beast` number, since 1 + 4 + 7 + 92 + 3 + 4 + 3 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526417780 + ... + 526418060.

Almost surely, 2147923435520 is an apocalyptic number.

147923435520 is a gapful number since it is divisible by the number (10) 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 147923435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319349433600).

147923435520 is an abundant number, since it is smaller than the sum of its proper divisors (490775431680).

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

147923435520 is an equidigital number, since it uses as much as digits as its factorization.

147923435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 147923435520 in words is "one hundred forty-seven billion, nine hundred twenty-three million, four hundred thirty-five thousand, five hundred twenty".