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136793670525472 = 25295324111540513
BaseRepresentation
bin11111000110100111000010…
…001000111010001000100000
3122221100100101002122221220011
4133012213002020322020200
5120412211414123303342
61202534051130454304
740546005451320322
oct3706470210721040
9587310332587804
10136793670525472
113a64a962898494
1213413643594394
135b4378447803c
1425acbc585b612
1510c34b5d08717
hex7c69c223a220

136793670525472 has 96 divisors (see below), whose sum is σ = 285033615839280. Its totient is φ = 64523464212480.

The previous prime is 136793670525467. The next prime is 136793670525511. The reversal of 136793670525472 is 274525076397631.

It can be written as a sum of positive squares in 8 ways, for example, as 56534218117776 + 80259452407696 = 7518924^2 + 8958764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136793670525398 and 136793670525407.

It is an unprimeable number.

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, 6083088 + ... + 17623600.

Almost surely, 2136793670525472 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 136793670525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142516807919640).

136793670525472 is an abundant number, since it is smaller than the sum of its proper divisors (148239945313808).

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

136793670525472 is a wasteful number, since it uses less digits than its factorization.

136793670525472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540846 (or 11540838 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 67.

The spelling of 136793670525472 in words is "one hundred thirty-six trillion, seven hundred ninety-three billion, six hundred seventy million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 241 424 464 482 848 928 964 1537 1696 1928 3074 3856 6148 6989 7712 12296 12773 13978 24592 25546 27956 49184 51092 55912 102184 111824 204368 223648 370417 408736 740834 1481668 2963336 5926672 11540513 11853344 23081026 46162052 92324104 184648208 334674877 369296416 611647189 669349754 1223294378 1338699508 2446588756 2677399016 2781263633 4893177512 5354798032 5562527266 9786355024 10709596064 11125054532 17737768481 19572710048 22250109064 35475536962 44500218128 70951073924 80656645357 89000436256 141902147848 147406972549 161313290714 283804295696 294813945098 322626581428 567608591392 589627890196 645253162856 1179255780392 1290506325712 2358511560784 2581012651424 4274802203921 4717023121568 8549604407842 17099208815684 34198417631368 68396835262736 136793670525472