Search a number
-
+
27985932926672 = 2472315716915407
BaseRepresentation
bin1100101110011111110111…
…00101110011111011010000
310200002102120210011112122012
412113033323211303323100
512132010142312123142
6135304320552002052
75615626335625430
oct627177345637320
9120072523145565
1027985932926672
118a0a8495aa936
12317ba40390328
1312800a6713666
146ca7525642c0
15337ea1d69882
hex1973fb973ed0

27985932926672 has 80 divisors (see below), whose sum is σ = 64704319229952. Its totient is φ = 11465189915520.

The previous prime is 27985932926671. The next prime is 27985932926713. The reversal of 27985932926672 is 27662923958972.

It is a junction number, because it is equal to n+sod(n) for n = 27985932926593 and 27985932926602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27985932926671) 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, 589193 + ... + 7504599.

Almost surely, 227985932926672 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 27985932926672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32352159614976).

27985932926672 is an abundant number, since it is smaller than the sum of its proper divisors (36718386303280).

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

27985932926672 is a wasteful number, since it uses less digits than its factorization.

27985932926672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917016 (or 6917010 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 77.

The spelling of 27985932926672 in words is "twenty-seven trillion, nine hundred eighty-five billion, nine hundred thirty-two million, nine hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 1571 2576 3142 6284 10997 12568 21994 25136 36133 43988 72266 87976 144532 175952 252931 289064 505862 578128 1011724 2023448 4046896 6915407 13830814 27661628 48407849 55323256 96815698 110646512 159054361 193631396 318108722 387262792 636217444 774525584 1113380527 1272434888 2226761054 2544869776 4453522108 8907044216 10864104397 17814088432 21728208794 43456417588 76048730779 86912835176 152097461558 173825670352 249874401131 304194923116 499748802262 608389846232 999497604524 1216779692464 1749120807917 1998995209048 3498241615834 3997990418096 6996483231668 13992966463336 27985932926672