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45521344400 = 24527103157841
BaseRepresentation
bin101010011001010010…
…001001011110010000
311100111110102220010112
4222121102021132100
51221211431010100
632525012220452
73201030020540
oct523122113620
9140443386115
1045521344400
111833a680894
1289a500a728
1343a5c2a55c
1422bb9bd320
1512b65c0b35
hexa99489790

45521344400 has 120 divisors (see below), whose sum is σ = 126202886784. Its totient is φ = 15455692800.

The previous prime is 45521344387. The next prime is 45521344403. The reversal of 45521344400 is 444312554.

It is a super-2 number, since 2×455213444002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45521344403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209480 + ... + 367320.

Almost surely, 245521344400 is an apocalyptic number.

45521344400 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 45521344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63101443392).

45521344400 is an abundant number, since it is smaller than the sum of its proper divisors (80681542384).

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

45521344400 is a wasteful number, since it uses less digits than its factorization.

45521344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157969 (or 157958 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 45521344400 its reverse (444312554), we get a palindrome (45965656954).

The spelling of 45521344400 in words is "forty-five billion, five hundred twenty-one million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 103 112 140 175 200 206 280 350 400 412 515 560 700 721 824 1030 1400 1442 1648 2060 2575 2800 2884 3605 4120 5150 5768 7210 8240 10300 11536 14420 18025 20600 28840 36050 41200 57680 72100 144200 157841 288400 315682 631364 789205 1104887 1262728 1578410 2209774 2525456 3156820 3946025 4419548 5524435 6313640 7892050 8839096 11048870 12627280 15784100 16257623 17678192 22097740 27622175 31568200 32515246 44195480 55244350 63136400 65030492 81288115 88390960 110488700 113803361 130060984 162576230 220977400 227606722 260121968 325152460 406440575 441954800 455213444 569016805 650304920 812881150 910426888 1138033610 1300609840 1625762300 1820853776 2276067220 2845084025 3251524600 4552134440 5690168050 6503049200 9104268880 11380336100 22760672200 45521344400