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54771162040 = 23572958711491
BaseRepresentation
bin110011000000100111…
…011001101110111000
312020101002121022112001
4303000213121232320
51344132404141130
641054520030344
73646165124110
oct630047315670
9166332538461
1054771162040
1121256990781
12a7469023b4
13521b38822a
142918264040
1516586976ca
hexcc09d9bb8

54771162040 has 128 divisors (see below), whose sum is σ = 145957593600. Its totient is φ = 18098680320.

The previous prime is 54771162029. The next prime is 54771162053. The reversal of 54771162040 is 4026117745.

54771162040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760695 + ... + 4772185.

It is an arithmetic number, because the mean of its divisors is an integer number (1140293700).

Almost surely, 254771162040 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 54771162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72978796800).

54771162040 is an abundant number, since it is smaller than the sum of its proper divisors (91186431560).

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

54771162040 is a wasteful number, since it uses less digits than its factorization.

54771162040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

Adding to 54771162040 its reverse (4026117745), we get a palindrome (58797279785).

It can be divided in two parts, 54771 and 162040, that added together give a triangular number (216811 = T658).

The spelling of 54771162040 in words is "fifty-four billion, seven hundred seventy-one million, one hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 587 812 1015 1160 1174 1624 2030 2348 2935 4060 4109 4696 5870 8120 8218 11491 11740 16436 17023 20545 22982 23480 32872 34046 41090 45964 57455 68092 80437 82180 85115 91928 114910 119161 136184 160874 164360 170230 229820 238322 321748 333239 340460 402185 459640 476644 595805 643496 666478 680920 804370 953288 1191610 1332956 1608740 1666195 2332673 2383220 2665912 3217480 3332390 4665346 4766440 6664780 6745217 9330692 11663365 13329560 13490434 18661384 23326730 26980868 33726085 46653460 47216519 53961736 67452170 93306920 94433038 134904340 188866076 195611293 236082595 269808680 377732152 391222586 472165190 782445172 944330380 978056465 1369279051 1564890344 1888660760 1956112930 2738558102 3912225860 5477116204 6846395255 7824451720 10954232408 13692790510 27385581020 54771162040