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135073022816 = 25191291117207
BaseRepresentation
bin111110111001011111…
…0101100001101100000
3110220122110201111122202
41331302332230031200
54203112143212231
6142015055352332
712521143515224
oct1756276541540
9426573644582
10135073022816
1152314222276
12222178226a8
13c977bbca94
146775138784
1537a83e15cb
hex1f72fac360

135073022816 has 48 divisors (see below), whose sum is σ = 279959016960. Its totient is φ = 63973284480.

The previous prime is 135073022803. The next prime is 135073022837. The reversal of 135073022816 is 618220370531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 135073022816.

It is a congruent number.

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, 7841285 + ... + 7858491.

It is an arithmetic number, because the mean of its divisors is an integer number (5832479520).

Almost surely, 2135073022816 is an apocalyptic number.

135073022816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135073022816 is an abundant number, since it is smaller than the sum of its proper divisors (144885994144).

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

135073022816 is a wasteful number, since it uses less digits than its factorization.

135073022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30147 (or 30139 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 135073022816 in words is "one hundred thirty-five billion, seventy-three million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 12911 17207 25822 34414 51644 68828 103288 137656 206576 245309 275312 326933 413152 490618 550624 653866 981236 1307732 1962472 2615464 3924944 5230928 7849888 10461856 222159577 444319154 888638308 1777276616 3554553232 4221031963 7109106464 8442063926 16884127852 33768255704 67536511408 135073022816