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55404667120 = 24511179351731
BaseRepresentation
bin110011100110011000…
…000010000011110000
312022000020122201010011
4303212120002003300
51401432043321440
641241430144304
74000656620515
oct634630020360
9168006581104
1055404667120
11215515434a0
12a8a2ab2094
1352bc6b52ca
14297844d30c
1516940d29ea
hexce66020f0

55404667120 has 80 divisors (see below), whose sum is σ = 141311848320. Its totient is φ = 20034540800.

The previous prime is 55404667117. The next prime is 55404667121. The reversal of 55404667120 is 2176640455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55404667121) 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, 18346 + ... + 333385.

It is an arithmetic number, because the mean of its divisors is an integer number (1766398104).

Almost surely, 255404667120 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 55404667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70655924160).

55404667120 is an abundant number, since it is smaller than the sum of its proper divisors (85907181200).

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

55404667120 is a wasteful number, since it uses less digits than its factorization.

55404667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351934 (or 351928 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 55404667120 in words is "fifty-five billion, four hundred four million, six hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 358 440 716 880 895 1432 1790 1969 2864 3580 3938 7160 7876 9845 14320 15752 19690 31504 39380 78760 157520 351731 703462 1406924 1758655 2813848 3517310 3869041 5627696 7034620 7738082 14069240 15476164 19345205 28138480 30952328 38690410 61904656 62959849 77380820 125919698 154761640 251839396 309523280 314799245 503678792 629598490 692558339 1007357584 1259196980 1385116678 2518393960 2770233356 3462791695 5036787920 5540466712 6925583390 11080933424 13851166780 27702333560 55404667120