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5642237628144 = 2432133197226317
BaseRepresentation
bin101001000011010111110…
…0100011100111011110000
3201222101121020112000011100
41102012233210130323300
51214420300313100034
620000001433444400
71121431623346155
oct122065744347360
921871536460140
105642237628144
111885950059257
12771605b70700
1331c0a354b740
1415712b46c22c
159bb7a727099
hex521af91cef0

5642237628144 has 120 divisors (see below), whose sum is σ = 17553628356992. Its totient is φ = 1680070740480.

The previous prime is 5642237628121. The next prime is 5642237628163. The reversal of 5642237628144 is 4418267322465.

It is a happy number.

5642237628144 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 2 + 3 + 7 + 628 + 1 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48555127 + ... + 48671190.

Almost surely, 25642237628144 is an apocalyptic number.

It is an amenable number.

5642237628144 is an abundant number, since it is smaller than the sum of its proper divisors (11911390728848).

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

5642237628144 is a wasteful number, since it uses less digits than its factorization.

5642237628144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97226375 (or 97226366 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 5642237628144 in words is "five trillion, six hundred forty-two billion, two hundred thirty-seven million, six hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 97226317 194452634 291678951 388905268 583357902 777810536 875036853 1166715804 1263942121 1555621072 1750073706 2333431608 2527884242 3014015827 3500147412 3791826363 4666863216 5055768484 6028031654 7000294824 7583652726 9042047481 10111536968 11375479089 12056063308 14000589648 15167305452 18084094962 20223073936 22750958178 24112126616 27126142443 30334610904 36168189924 39182205751 45501916356 48224253232 54252284886 60669221808 72336379848 78364411502 91003832712 108504569772 117546617253 144672759696 156728823004 182007665424 217009139544 235093234506 313457646008 352639851759 434018279088 470186469012 626915292016 705279703518 940372938024 1410559407036 1880745876048 2821118814072 5642237628144