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45731747400 = 23352145152529
BaseRepresentation
bin101010100101110100…
…110001011001001000
311101001010100110210020
4222211310301121020
51222124311404100
633001530020440
73206163303423
oct524564613110
9141033313706
1045731747400
1118438419769
128a43577720
13440a6b7981
1422db90c9ba
1512c9cd25a0
hexaa5d31648

45731747400 has 96 divisors (see below), whose sum is σ = 141868821600. Its totient is φ = 12186496000.

The previous prime is 45731747381. The next prime is 45731747407. The reversal of 45731747400 is 474713754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45731747407) 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, 844336 + ... + 896864.

It is an arithmetic number, because the mean of its divisors is an integer number (1477800225).

Almost surely, 245731747400 is an apocalyptic number.

45731747400 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 45731747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70934410800).

45731747400 is an abundant number, since it is smaller than the sum of its proper divisors (96137074200).

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

45731747400 is a wasteful number, since it uses less digits than its factorization.

45731747400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53999 (or 53990 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 45731747400 in words is "forty-five billion, seven hundred thirty-one million, seven hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1451 2902 4353 5804 7255 8706 11608 14510 17412 21765 29020 34824 36275 43530 52529 58040 72550 87060 105058 108825 145100 157587 174120 210116 217650 262645 290200 315174 420232 435300 525290 630348 787935 870600 1050580 1260696 1313225 1575870 2101160 2626450 3151740 3939675 5252900 6303480 7879350 10505800 15758700 31517400 76219579 152439158 228658737 304878316 381097895 457317474 609756632 762195790 914634948 1143293685 1524391580 1829269896 1905489475 2286587370 3048783160 3810978950 4573174740 5716468425 7621957900 9146349480 11432936850 15243915800 22865873700 45731747400