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146948426712 = 23322970377599
BaseRepresentation
bin1000100011011011001…
…1110000101111011000
3112001022002101112021200
42020312303300233120
54401422244123322
6151301314434200
713421343006063
oct2106663605730
9461262345250
10146948426712
1157358612a5a
1224590892960
1310b1b2ab6a9
1471803a18da
153c50c4e8ac
hex2236cf0bd8

146948426712 has 48 divisors (see below), whose sum is σ = 411708960000. Its totient is φ = 47293745856.

The previous prime is 146948426711. The next prime is 146948426771. The reversal of 146948426712 is 217624849641.

146948426712 is a `hidden beast` number, since 14 + 69 + 484 + 26 + 71 + 2 = 666.

146948426712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1469484267122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146948426711) 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 11 ways as a sum of consecutive naturals, for example, 35186712 + ... + 35190887.

It is an arithmetic number, because the mean of its divisors is an integer number (8577270000).

Almost surely, 2146948426712 is an apocalyptic number.

146948426712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146948426712 is an abundant number, since it is smaller than the sum of its proper divisors (264760533288).

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

146948426712 is a wasteful number, since it uses less digits than its factorization.

146948426712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70377640 (or 70377633 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 146948426712 in words is "one hundred forty-six billion, nine hundred forty-eight million, four hundred twenty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 70377599 140755198 211132797 281510396 422265594 563020792 633398391 844531188 1266796782 1689062376 2040950371 2533593564 4081900742 5067187128 6122851113 8163801484 12245702226 16327602968 18368553339 24491404452 36737106678 48982808904 73474213356 146948426712