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135673520448 = 2633773261619
BaseRepresentation
bin111111001011011000…
…1011010000101000000
3110222012022122221112210
41332112301122011000
54210324410123243
6142154430222120
712542054616204
oct1762661320500
9428168587483
10135673520448
11525a2190004
1222364954940
13ca4243101b
1467d0bb0b04
1537e0eab933
hex1f96c5a140

135673520448 has 112 divisors (see below), whose sum is σ = 373723123520. Its totient is φ = 43399286784.

The previous prime is 135673520447. The next prime is 135673520449. The reversal of 135673520448 is 844025376531.

It is an interprime number because it is at equal distance from previous prime (135673520447) and next prime (135673520449).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 135673520397 and 135673520406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135673520447) 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 15 ways as a sum of consecutive naturals, for example, 387783 + ... + 649401.

Almost surely, 2135673520448 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 135673520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186861561760).

135673520448 is an abundant number, since it is smaller than the sum of its proper divisors (238049603072).

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

135673520448 is a wasteful number, since it uses less digits than its factorization.

135673520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261744 (or 261734 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

Adding to 135673520448 its reverse (844025376531), we get a palindrome (979698896979).

The spelling of 135673520448 in words is "one hundred thirty-five billion, six hundred seventy-three million, five hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 111 146 148 192 219 222 292 296 438 444 584 592 876 888 1168 1184 1752 1776 2336 2368 2701 3504 3552 4672 5402 7008 7104 8103 10804 14016 16206 21608 32412 43216 64824 86432 129648 172864 259296 261619 518592 523238 784857 1046476 1569714 2092952 3139428 4185904 6278856 8371808 9679903 12557712 16743616 19098187 19359806 25115424 29039709 38196374 38719612 50230848 57294561 58079418 76392748 77439224 114589122 116158836 152785496 154878448 229178244 232317672 305570992 309756896 458356488 464635344 611141984 619513792 706632919 916712976 929270688 1222283968 1413265838 1833425952 1858541376 2119898757 2826531676 3666851904 4239797514 5653063352 8479595028 11306126704 16959190056 22612253408 33918380112 45224506816 67836760224 135673520448