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54170241400 = 23521141600557
BaseRepresentation
bin110010011100110011…
…000100100101111000
312011211012212101101001
4302130303010211320
51341420040211100
640515132134344
73625250311642
oct623463044570
9164735771331
1054170241400
1120a78764150
12a5b96073b4
135153a295a2
14289c51b892
151620a46d6a
hexc9ccc4978

54170241400 has 96 divisors (see below), whose sum is σ = 140746772880. Its totient is φ = 19217792000.

The previous prime is 54170241361. The next prime is 54170241407. The reversal of 54170241400 is 414207145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54170241407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210079 + ... + 390478.

Almost surely, 254170241400 is an apocalyptic number.

54170241400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54170241400 is an abundant number, since it is smaller than the sum of its proper divisors (86576531480).

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

54170241400 is a wasteful number, since it uses less digits than its factorization.

54170241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600625 (or 600616 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 54170241400 its reverse (414207145), we get a palindrome (54584448545).

The spelling of 54170241400 in words is "fifty-four billion, one hundred seventy million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 3608 4100 4510 8200 9020 11275 18040 22550 45100 90200 600557 1201114 2402228 3002785 4804456 6005570 6606127 12011140 13212254 15013925 24022280 24622837 26424508 30027850 33030635 49245674 52849016 60055700 66061270 98491348 120111400 123114185 132122540 165153175 196982696 246228370 264245080 270851207 330306350 492456740 541702414 615570925 660612700 984913480 1083404828 1231141850 1321225400 1354256035 2166809656 2462283700 2708512070 4924567400 5417024140 6771280175 10834048280 13542560350 27085120700 54170241400