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153077773343968 = 251112712372768191
BaseRepresentation
bin100010110011100100110010…
…010011011001110011100000
3202002000002111020000022000201
4202303210302103121303200
5130031011234434001333
61301322542552154544
744146334632422514
oct4263446223316340
9662002436008021
10153077773343968
1144858a12361420
12152035b8698a54
1367552310c8375
1429b300a472144
1512a6d8690c17d
hex8b39324d9ce0

153077773343968 has 96 divisors (see below), whose sum is σ = 331626035478528. Its totient is φ = 68977094054400.

The previous prime is 153077773343921. The next prime is 153077773343969. The reversal of 153077773343968 is 869343377770351.

It is a self number, because there is not a number n which added to its sum of digits gives 153077773343968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153077773343969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53914753 + ... + 56682943.

It is an arithmetic number, because the mean of its divisors is an integer number (3454437869568).

Almost surely, 2153077773343968 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 153077773343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165813017739264).

153077773343968 is an abundant number, since it is smaller than the sum of its proper divisors (178548262134560).

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

153077773343968 is a wasteful number, since it uses less digits than its factorization.

153077773343968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769576 (or 2769568 counting only the distinct ones).

The product of its (nonzero) digits is 1680315840, while the sum is 73.

The spelling of 153077773343968 in words is "one hundred fifty-three trillion, seventy-seven billion, seven hundred seventy-three million, three hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1237 1397 2032 2474 2794 4064 4948 5588 9896 11176 13607 19792 22352 27214 39584 44704 54428 108856 157099 217712 314198 435424 628396 1256792 1728089 2513584 2768191 3456178 5027168 5536382 6912356 11072764 13824712 22145528 27649424 30450101 44291056 55298848 60900202 88582112 121800404 243600808 351560257 487201616 703120514 974403232 1406241028 2812482056 3424252267 3867162827 5624964112 6848504534 7734325654 11249928224 13697009068 15468651308 27394018136 30937302616 37666774937 54788036272 61874605232 75333549874 109576072544 123749210464 150667099748 301334199496 434880037909 602668398992 869760075818 1205336797984 1739520151636 3479040303272 4783680416999 6958080606544 9567360833998 13916161213088 19134721667996 38269443335992 76538886671984 153077773343968