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45474236400 = 24352331114487
BaseRepresentation
bin101010010110011110…
…011100011111110000
311100101011210120002210
4222112132130133300
51221112401031100
632520210412120
73166615426455
oct522636343760
9140334716083
1045474236400
111831602595a
128991291040
1343992455b8
1422b563982c
1512b23b7c50
hexa9679c7f0

45474236400 has 120 divisors (see below), whose sum is σ = 146110501504. Its totient is φ = 12089721600.

The previous prime is 45474236387. The next prime is 45474236407. The reversal of 45474236400 is 463247454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45474236407) 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, 339957 + ... + 454443.

Almost surely, 245474236400 is an apocalyptic number.

45474236400 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 45474236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73055250752).

45474236400 is an abundant number, since it is smaller than the sum of its proper divisors (100636265104).

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

45474236400 is a wasteful number, since it uses less digits than its factorization.

45474236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114839 (or 114828 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 45474236400 in words is "forty-five billion, four hundred seventy-four million, two hundred thirty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 331 400 600 662 993 1200 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 8275 9930 13240 15888 16550 19860 24825 26480 33100 39720 49650 66200 79440 99300 114487 132400 198600 228974 343461 397200 457948 572435 686922 915896 1144870 1373844 1717305 1831792 2289740 2747688 2862175 3434610 4579480 5495376 5724350 6869220 8586525 9158960 11448700 13738440 17173050 22897400 27476880 34346100 37895197 45794800 68692200 75790394 113685591 137384400 151580788 189475985 227371182 303161576 378951970 454742364 568427955 606323152 757903940 909484728 947379925 1136855910 1515807880 1818969456 1894759850 2273711820 2842139775 3031615760 3789519700 4547423640 5684279550 7579039400 9094847280 11368559100 15158078800 22737118200 45474236400