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146933626952 = 2372537072277
BaseRepresentation
bin1000100011010111101…
…1010011100001001000
3112001021001112121211102
42020311323103201020
54401410002030302
6151300025320532
713421103136100
oct2106573234110
9461231477742
10146933626952
1157350224752
1224587936148
1310b181c9238
14717c42c200
153c4e7c9702
hex2235ed3848

146933626952 has 48 divisors (see below), whose sum is σ = 326527075260. Its totient is φ = 61783403136.

The previous prime is 146933626951. The next prime is 146933627021. The reversal of 146933626952 is 259626339641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 119877982756 + 27055644196 = 346234^2 + 164486^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (146933626951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3515363 + ... + 3556914.

Almost surely, 2146933626952 is an apocalyptic number.

It is an amenable number.

146933626952 is an abundant number, since it is smaller than the sum of its proper divisors (179593448308).

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

146933626952 is a wasteful number, since it uses less digits than its factorization.

146933626952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072350 (or 7072339 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 56.

The spelling of 146933626952 in words is "one hundred forty-six billion, nine hundred thirty-three million, six hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 5194 10388 20776 7072277 14144554 28289108 49505939 56578216 99011878 198023756 346541573 374830681 396047512 693083146 749661362 1386166292 1499322724 2623814767 2772332584 2998645448 5247629534 10495259068 18366703369 20990518136 36733406738 73466813476 146933626952