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45504454400 = 285219935729
BaseRepresentation
bin101010011000010001…
…101101111100000000
311100110021122210101222
4222120101231330000
51221143120020100
632523210214212
73200433323546
oct523021557400
9140407583358
1045504454400
1118331095109
12899b424368
1343a2595882
1422b9663d96
1512b4d86485
hexa9846df00

45504454400 has 108 divisors (see below), whose sum is σ = 113199786000. Its totient is φ = 18109808640.

The previous prime is 45504454399. The next prime is 45504454409. The reversal of 45504454400 is 445440554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45504454409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255736 + ... + 1291464.

Almost surely, 245504454400 is an apocalyptic number.

45504454400 is a gapful number since it is divisible by the number (40) 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 45504454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56599893000).

45504454400 is an abundant number, since it is smaller than the sum of its proper divisors (67695331600).

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

45504454400 is a wasteful number, since it uses less digits than its factorization.

45504454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35954 (or 35935 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 45504454400 its reverse (445440554), we get a palindrome (45949894954).

The spelling of 45504454400 in words is "forty-five billion, five hundred four million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 199 200 256 320 398 400 640 796 800 995 1280 1592 1600 1990 3184 3200 3980 4975 6368 6400 7960 9950 12736 15920 19900 25472 31840 35729 39800 50944 63680 71458 79600 127360 142916 159200 178645 254720 285832 318400 357290 571664 636800 714580 893225 1143328 1273600 1429160 1786450 2286656 2858320 3572900 4573312 5716640 7110071 7145800 9146624 11433280 14220142 14291600 22866560 28440284 28583200 35550355 45733120 56880568 57166400 71100710 113761136 114332800 142201420 177751775 227522272 228665600 284402840 355503550 455044544 568805680 711007100 910089088 1137611360 1422014200 1820178176 2275222720 2844028400 4550445440 5688056800 9100890880 11376113600 22752227200 45504454400