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54927711540 = 223251371330611
BaseRepresentation
bin110011001001111100…
…100101110100110100
312020210000011212001200
4303021330211310310
51344442443232130
641122231252500
73653105562462
oct631174456464
9166700155050
1054927711540
1121327296729
12a78b21a130
13524493b280
142930d75832
1516672bc760
hexcc9f25d34

54927711540 has 144 divisors (see below), whose sum is σ = 181958265216. Its totient is φ = 13330195200.

The previous prime is 54927711539. The next prime is 54927711541. The reversal of 54927711540 is 4511772945.

54927711540 is a `hidden beast` number, since 5 + 4 + 92 + 7 + 7 + 11 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (54927711539) and next prime (54927711541).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54927711541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 835 + ... + 331445.

It is an arithmetic number, because the mean of its divisors is an integer number (1263599064).

Almost surely, 254927711540 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 54927711540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979132608).

54927711540 is an abundant number, since it is smaller than the sum of its proper divisors (127030553676).

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

54927711540 is a wasteful number, since it uses less digits than its factorization.

54927711540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330710 (or 330705 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 54927711540 in words is "fifty-four billion, nine hundred twenty-seven million, seven hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2556 2769 3195 3692 4260 4615 5538 6390 8307 9230 11076 12780 13845 16614 18460 27690 33228 41535 55380 83070 166140 330611 661222 991833 1322444 1653055 1983666 2975499 3306110 3967332 4297943 4959165 5950998 6612220 8595886 9918330 11901996 12893829 14877495 17191772 19836660 21489715 23473381 25787658 29754990 38681487 42979430 46946762 51575316 59509980 64469145 70420143 77362974 85958860 93893524 117366905 128938290 140840286 154725948 193407435 211260429 234733810 257876580 281680572 305153953 352100715 386814870 422520858 469467620 610307906 704201430 773629740 845041716 915461859 1056302145 1220615812 1408402860 1525769765 1830923718 2112604290 2746385577 3051539530 3661847436 4225208580 4577309295 5492771154 6103079060 9154618590 10985542308 13731927885 18309237180 27463855770 54927711540