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45545333440 = 265975772543
BaseRepresentation
bin101010011010101101…
…101010001011000000
311100120010120122220111
4222122231222023000
51221234101132230
632531230321104
73201440642455
oct523255521300
9140503518814
1045545333440
1118352176142
1289b1059194
1343aaba9559
1422c0c6582c
1512b875d92a
hexa9ab6a2c0

45545333440 has 112 divisors (see below), whose sum is σ = 109805980032. Its totient is φ = 17991991296.

The previous prime is 45545333417. The next prime is 45545333453. The reversal of 45545333440 is 4433354554.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45545333393 and 45545333402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17908809 + ... + 17911351.

It is an arithmetic number, because the mean of its divisors is an integer number (980410536).

Almost surely, 245545333440 is an apocalyptic number.

45545333440 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 45545333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54902990016).

45545333440 is an abundant number, since it is smaller than the sum of its proper divisors (64260646592).

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

45545333440 is a wasteful number, since it uses less digits than its factorization.

45545333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

Adding to 45545333440 its reverse (4433354554), we get a palindrome (49978687994).

The spelling of 45545333440 in words is "forty-five billion, five hundred forty-five million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 577 776 970 1154 1552 1940 2308 2543 2885 3104 3880 4616 5086 5770 6208 7760 9232 10172 11540 12715 15520 18464 20344 23080 25430 31040 36928 40688 46160 50860 55969 81376 92320 101720 111938 162752 184640 203440 223876 246671 279845 406880 447752 493342 559690 813760 895504 986684 1119380 1233355 1467311 1791008 1973368 2238760 2466710 2934622 3582016 3946736 4477520 4933420 5869244 7336555 7893472 8955040 9866840 11738488 14673110 15786944 17910080 19733680 23476976 29346220 39467360 46953952 58692440 78934720 93907904 117384880 142329167 234769760 284658334 469539520 569316668 711645835 1138633336 1423291670 2277266672 2846583340 4554533344 5693166680 9109066688 11386333360 22772666720 45545333440