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20155400544 = 2531379831559
BaseRepresentation
bin10010110001010110…
…110000000101100000
31221000122221102201110
4102301112300011200
5312234240304134
613132000103320
71312320035466
oct226126600540
957018842643
1020155400544
11860321a824
123aa6004b40
131b92947a16
14d92bb8836
157ce7157e9
hex4b15b0160

20155400544 has 96 divisors (see below), whose sum is σ = 53382551040. Its totient is φ = 6658368512.

The previous prime is 20155400471. The next prime is 20155400567. The reversal of 20155400544 is 44500455102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12927637 + ... + 12929195.

It is an arithmetic number, because the mean of its divisors is an integer number (556068240).

Almost surely, 220155400544 is an apocalyptic number.

20155400544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20155400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26691275520).

20155400544 is an abundant number, since it is smaller than the sum of its proper divisors (33227150496).

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

20155400544 is a wasteful number, since it uses less digits than its factorization.

20155400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 20155400544 its reverse (44500455102), we get a palindrome (64655855646).

The spelling of 20155400544 in words is "twenty billion, one hundred fifty-five million, four hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 983 1096 1559 1644 1966 2192 2949 3118 3288 3932 4384 4677 5898 6236 6576 7864 9354 11796 12472 13152 15728 18708 23592 24944 31456 37416 47184 49888 74832 94368 134671 149664 213583 269342 404013 427166 538684 640749 808026 854332 1077368 1281498 1532497 1616052 1708664 2154736 2562996 3064994 3232104 3417328 4309472 4597491 5125992 6129988 6464208 6834656 9194982 10251984 12259976 12928416 18389964 20503968 24519952 36779928 49039904 73559856 147119712 209952089 419904178 629856267 839808356 1259712534 1679616712 2519425068 3359233424 5038850136 6718466848 10077700272 20155400544