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151616208436 = 2271121914531621
BaseRepresentation
bin1000110100110100000…
…1111011111000110100
3112111100101122102001021
42031031001323320310
54441002222132221
6153352421310524
713645122336130
oct2151501737064
9474311572037
10151616208436
1159333440500
1225473b65444
13113b336b904
1474a42a43c0
153e25931041
hex234d07be34

151616208436 has 144 divisors (see below), whose sum is σ = 351305476480. Its totient is φ = 55889222400.

The previous prime is 151616208433. The next prime is 151616208467. The reversal of 151616208436 is 634802616151.

151616208436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151616208392 and 151616208401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151616208433) 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 47 ways as a sum of consecutive naturals, for example, 93531706 + ... + 93533326.

Almost surely, 2151616208436 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 151616208436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175652738240).

151616208436 is an abundant number, since it is smaller than the sum of its proper divisors (199689268044).

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

151616208436 is a wasteful number, since it uses less digits than its factorization.

151616208436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 151616208436 in words is "one hundred fifty-one billion, six hundred sixteen million, two hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 418 484 532 836 847 1453 1463 1621 1694 2299 2906 2926 3242 3388 4598 5812 5852 6484 9196 10171 11347 15983 16093 17831 20342 22694 27607 30799 31966 32186 35662 40684 45388 55214 61598 63932 64372 71324 110428 111881 123196 124817 175813 193249 196141 215593 223762 249634 303677 338789 351626 386498 392282 431186 447524 499268 607354 677578 703252 772996 784564 862372 1214708 1230691 1355156 1372987 2125739 2355313 2371523 2461382 2745974 3340447 3726679 4251478 4710626 4743046 4922764 5491948 6680894 7453358 8502956 9421252 9486092 13361788 14906716 16487191 23383129 25908443 26086753 32974382 44750947 46766258 51816886 52173506 65948764 89501894 93532516 103633772 104347012 179003788 181359101 284992873 313256629 362718202 492260417 569985746 626513258 725436404 984520834 1139971492 1253026516 1969041668 1994950111 3445822919 3989900222 5414864587 6891645838 7979800444 10829729174 13783291676 21659458348 37904052109 75808104218 151616208436