Search a number
-
+
42752913651072 = 273395312980729
BaseRepresentation
bin10011011100010001100000…
…01110110011010110000000
312121101010202001122020112000
421232020300032303112000
521100430431343313242
6230532230053504000
712001540025015442
oct1156106016632600
9177333661566460
1042752913651072
111269345520a799
124965974342000
131ab1775878b71
14a7b37592a492
154e217c330a4c
hex26e2303b3580

42752913651072 has 128 divisors (see below), whose sum is σ = 126312887484000. Its totient is φ = 14236016320512.

The previous prime is 42752913651037. The next prime is 42752913651089. The reversal of 42752913651072 is 27015631925724.

42752913651072 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 2 + 91 + 36 + 510 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3196797 + ... + 9783932.

Almost surely, 242752913651072 is an apocalyptic number.

It is an amenable number.

42752913651072 is an abundant number, since it is smaller than the sum of its proper divisors (83559973832928).

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

42752913651072 is a wasteful number, since it uses less digits than its factorization.

42752913651072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981705 (or 12981687 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 42752913651072 in words is "forty-two trillion, seven hundred fifty-two billion, nine hundred thirteen million, six hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 953 1152 1728 1906 2859 3456 3812 5718 7624 8577 11436 15248 17154 22872 25731 30496 34308 45744 51462 60992 68616 91488 102924 121984 137232 182976 205848 274464 365952 411696 548928 823392 1097856 1646784 3293568 12980729 25961458 38942187 51922916 77884374 103845832 116826561 155768748 207691664 233653122 311537496 350479683 415383328 467306244 623074992 700959366 830766656 934612488 1246149984 1401918732 1661533312 1869224976 2492299968 2803837464 3738449952 4984599936 5607674928 7476899904 11215349856 12370634737 14953799808 22430699712 24741269474 37111904211 44861399424 49482538948 74223808422 98965077896 111335712633 148447616844 197930155792 222671425266 296895233688 334007137899 395860311584 445342850532 593790467376 668014275798 791720623168 890685701064 1187580934752 1336028551596 1583441246336 1781371402128 2375161869504 2672057103192 3562742804256 4750323739008 5344114206384 7125485608512 10688228412768 14250971217024 21376456825536 42752913651072