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54011361380830 = 25719297119723189
BaseRepresentation
bin11000100011111100000000…
…00000100100100111011110
321002020102202122021220121121
430101332000000210213132
524034410232003141310
6310512251001121154
714243122612524430
oct1421760000444736
9232212678256547
1054011361380830
11162340a9476297
12608391b7891ba
13241a332285459
14d4a241808650
15639e5d2900da
hex311f800249de

54011361380830 has 128 divisors (see below), whose sum is σ = 122694020352000. Its totient is φ = 16700017743360.

The previous prime is 54011361380827. The next prime is 54011361380831. The reversal of 54011361380830 is 3808316311045.

It is a super-2 number, since 2×540113613808302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54011361380831) 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 63 ways as a sum of consecutive naturals, for example, 7123125 + ... + 12600064.

It is an arithmetic number, because the mean of its divisors is an integer number (958547034000).

Almost surely, 254011361380830 is an apocalyptic number.

54011361380830 is an abundant number, since it is smaller than the sum of its proper divisors (68682658971170).

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

54011361380830 is a wasteful number, since it uses less digits than its factorization.

54011361380830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19723322.

The product of its (nonzero) digits is 207360, while the sum is 43.

Adding to 54011361380830 its reverse (3808316311045), we get a palindrome (57819677691875).

The spelling of 54011361380830 in words is "fifty-four trillion, eleven billion, three hundred sixty-one million, three hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 71 95 133 142 145 190 203 266 290 355 406 497 551 665 710 994 1015 1102 1330 1349 2030 2059 2485 2698 2755 3857 4118 4970 5510 6745 7714 9443 10295 13490 14413 18886 19285 20590 28826 38570 39121 47215 72065 78242 94430 144130 195605 273847 391210 547694 1369235 2738470 19723189 39446378 98615945 138062323 197231890 276124646 374740591 571972481 690311615 749481182 1143944962 1380623230 1400346419 1873702955 2623184137 2800692838 2859862405 3747405910 4003807367 5246368274 5719724810 7001732095 8007614734 9802424933 10867477139 13115920685 14003464190 19604849866 20019036835 21734954278 26231841370 26606581961 40038073670 40610046151 49012124665 53213163922 54337385695 76072339973 81220092302 98024249330 108674771390 133032909805 152144679946 186246073727 203050230755 266065819610 284270323057 372492147454 380361699865 406100461510 568540646114 760723399730 771590876869 931230368635 1421351615285 1543181753738 1862460737270 2842703230570 3857954384345 5401136138083 7715908768690 10802272276166 27005680690415 54011361380830