Search a number
-
+
135656368116896 = 25111129341352887
BaseRepresentation
bin11110110110000011110101…
…101000100001010010100000
3122210022121210112112111102102
4132312003311220201102200
5120240043220214220041
61200303401501105532
740400564156334104
oct3666036550412240
9583277715474372
10135656368116896
113a2515a727a860
121326b1432582a8
135a9045746c873
14256db3618d904
1510a3b005cc09b
hex7b60f5a214a0

135656368116896 has 48 divisors (see below), whose sum is σ = 291610945160640. Its totient is φ = 61607368865280.

The previous prime is 135656368116887. The next prime is 135656368116967. The reversal of 135656368116896 is 698611863656531.

It is a super-2 number, since 2×1356563681168962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170279036 + ... + 171073851.

It is an arithmetic number, because the mean of its divisors is an integer number (6075228024180).

Almost surely, 2135656368116896 is an apocalyptic number.

135656368116896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135656368116896 is an abundant number, since it is smaller than the sum of its proper divisors (155954577043744).

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

135656368116896 is a wasteful number, since it uses less digits than its factorization.

135656368116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341354037 (or 341354029 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 74.

The spelling of 135656368116896 in words is "one hundred thirty-five trillion, six hundred fifty-six billion, three hundred sixty-eight million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1129 2258 4516 9032 12419 18064 24838 36128 49676 99352 198704 397408 341352887 682705774 1365411548 2730823096 3754881757 5461646192 7509763514 10923292384 15019527028 30039054056 60078108112 120156216224 385387409423 770774818846 1541549637692 3083099275384 4239261503653 6166198550768 8478523007306 12332397101536 16957046014612 33914092029224 67828184058448 135656368116896