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136994668528 = 24192324181299
BaseRepresentation
bin111111110010110000…
…1001011111111110000
3111002121101122020000011
41333211201023333300
54221031113343103
6142533503104304
712616566316654
oct1774541137760
9432541566004
10136994668528
115310aa12123
12226732a2094
13cbc3061b53
1468b8438a64
15386be77d6d
hex1fe584bff0

136994668528 has 80 divisors (see below), whose sum is σ = 292758048000. Its totient is φ = 61812495360.

The previous prime is 136994668519. The next prime is 136994668537. The reversal of 136994668528 is 825866499631.

It is an interprime number because it is at equal distance from previous prime (136994668519) and next prime (136994668537).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644423 + ... + 1725721.

It is an arithmetic number, because the mean of its divisors is an integer number (3659475600).

Almost surely, 2136994668528 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 136994668528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146379024000).

136994668528 is an abundant number, since it is smaller than the sum of its proper divisors (155763379472).

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

136994668528 is a wasteful number, since it uses less digits than its factorization.

136994668528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81590 (or 81584 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 67.

The spelling of 136994668528 in words is "one hundred thirty-six billion, nine hundred ninety-four million, six hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 241 304 368 437 482 874 964 1748 1928 3496 3856 4579 5543 6992 9158 11086 18316 22172 36632 44344 73264 81299 88688 105317 162598 210634 325196 421268 650392 842536 1300784 1544681 1685072 1869877 3089362 3739754 6178724 7479508 12357448 14959016 19593059 24714896 29918032 35527663 39186118 71055326 78372236 142110652 156744472 284221304 313488944 372268121 450640357 568442608 744536242 901280714 1489072484 1802561428 2978144968 3605122856 5956289936 7210245712 8562166783 17124333566 34248667132 68497334264 136994668528