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45552244400 = 24521310385049
BaseRepresentation
bin101010011011001000…
…000001011010110000
311100120121120202221222
4222123020001122300
51221242333310100
632532034404212
73201553455155
oct523310013260
9140517522858
1045552244400
1118356066483
1289b3430668
1343ac459090
1422c1b4422c
1512b9176485
hexa9b2016b0

45552244400 has 120 divisors (see below), whose sum is σ = 119003320800. Its totient is φ = 16655800320.

The previous prime is 45552244373. The next prime is 45552244427. The reversal of 45552244400 is 444225554.

It is an interprime number because it is at equal distance from previous prime (45552244373) and next prime (45552244427).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493076 + ... + 578124.

It is an arithmetic number, because the mean of its divisors is an integer number (991694340).

Almost surely, 245552244400 is an apocalyptic number.

45552244400 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 45552244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59501660400).

45552244400 is an abundant number, since it is smaller than the sum of its proper divisors (73451076400).

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

45552244400 is a wasteful number, since it uses less digits than its factorization.

45552244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85183 (or 85172 counting only the distinct ones).

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

Adding to 45552244400 its reverse (444225554), we get a palindrome (45996469954).

The spelling of 45552244400 in words is "forty-five billion, five hundred fifty-two million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 103 104 130 200 206 208 260 325 400 412 515 520 650 824 1030 1040 1300 1339 1648 2060 2575 2600 2678 4120 5150 5200 5356 6695 8240 10300 10712 13390 20600 21424 26780 33475 41200 53560 66950 85049 107120 133900 170098 267800 340196 425245 535600 680392 850490 1105637 1360784 1700980 2126225 2211274 3401960 4252450 4422548 5528185 6803920 8504900 8760047 8845096 11056370 17009800 17520094 17690192 22112740 27640925 34019600 35040188 43800235 44225480 55281850 70080376 87600470 88450960 110563700 113880611 140160752 175200940 219001175 221127400 227761222 350401880 438002350 442254800 455522444 569403055 700803760 876004700 911044888 1138806110 1752009400 1822089776 2277612220 2847015275 3504018800 4555224440 5694030550 9110448880 11388061100 22776122200 45552244400