Search a number
-
+
147604934512 = 2472961997331
BaseRepresentation
bin1000100101110111110…
…0001000111101110000
3112002222211201120200101
42021131330020331300
54404243330401022
6151450410002144
713443534146020
oct2113574107560
9462884646611
10147604934512
1157665156a92
1224734716354
1310bc4300849
147203657a80
153c8d6d0627
hex225df08f70

147604934512 has 80 divisors (see below), whose sum is σ = 338210496000. Its totient is φ = 61059720960.

The previous prime is 147604934507. The next prime is 147604934513. The reversal of 147604934512 is 215439406741.

147604934512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147604934513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20130687 + ... + 20138017.

It is an arithmetic number, because the mean of its divisors is an integer number (4227631200).

Almost surely, 2147604934512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147604934512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169105248000).

147604934512 is an abundant number, since it is smaller than the sum of its proper divisors (190605561488).

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

147604934512 is a wasteful number, since it uses less digits than its factorization.

147604934512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13574 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 147604934512 in words is "one hundred forty-seven billion, six hundred four million, nine hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 6199 7331 12398 14662 24796 29324 43393 49592 51317 58648 86786 99184 102634 117296 173572 179771 205268 212599 347144 359542 410536 425198 694288 719084 821072 850396 1258397 1438168 1488193 1700792 2516794 2876336 2976386 3401584 5033588 5952772 10067176 11905544 20134352 23811088 45444869 90889738 181779476 318114083 363558952 636228166 727117904 1272456332 1317901201 2544912664 2635802402 5089825328 5271604804 9225308407 10543209608 18450616814 21086419216 36901233628 73802467256 147604934512