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147053740032 = 21731019
BaseRepresentation
bin1000100011110100010…
…1100000000000000000
3112001120102120000000000
42020331011200000000
54402131224140112
6151320000000000
713424062111023
oct2107505400000
9461512500000
10147053740032
1157402003461
1224600000000
1310b37062774
1471903771ba
153c5a1037dc
hex223d160000

147053740032 has 396 divisors, whose sum is σ = 464375838780. Its totient is φ = 46438023168.

The previous prime is 147053740019. The next prime is 147053740039. The reversal of 147053740032 is 230047350741.

147053740032 is a `hidden beast` number, since 14 + 70 + 537 + 40 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×1470537400322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147053740039) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 7739670519 + ... + 7739670537.

Almost surely, 2147053740032 is an apocalyptic number.

147053740032 is a gapful number since it is divisible by the number (12) 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 147053740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232187919390).

147053740032 is an abundant number, since it is smaller than the sum of its proper divisors (317322098748).

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

147053740032 is an frugal number, since it uses more digits than its factorization.

147053740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 147053740032 in words is "one hundred forty-seven billion, fifty-three million, seven hundred forty thousand, thirty-two".