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45245434350 = 23521993716943
BaseRepresentation
bin101010001000110101…
…101000100111101110
311022210020021012200210
4222020311220213232
51220130312344400
632441354403250
73161136563214
oct521065504756
9138706235623
1045245434350
1118208960556
128928730526
134360a1567c
1422930bacb4
15129c26e950
hexa88d689ee

45245434350 has 96 divisors (see below), whose sum is σ = 118247431680. Its totient is φ = 11417552640.

The previous prime is 45245434337. The next prime is 45245434361. The reversal of 45245434350 is 5343454254.

45245434350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45245434299 and 45245434308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2661979 + ... + 2678921.

It is an arithmetic number, because the mean of its divisors is an integer number (1231744080).

Almost surely, 245245434350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45245434350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59123715840).

45245434350 is an abundant number, since it is smaller than the sum of its proper divisors (73001997330).

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

45245434350 is a wasteful number, since it uses less digits than its factorization.

45245434350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17914 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 45245434350 in words is "forty-five billion, two hundred forty-five million, four hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 937 950 1425 1874 2811 2850 4685 5622 9370 14055 16943 17803 23425 28110 33886 35606 46850 50829 53409 70275 84715 89015 101658 106818 140550 169430 178030 254145 267045 321917 423575 445075 508290 534090 643834 847150 890150 965751 1270725 1335225 1609585 1931502 2541450 2670450 3219170 4828755 8047925 9657510 15875591 16095850 24143775 31751182 47626773 48287550 79377955 95253546 158755910 238133865 301636229 396889775 476267730 603272458 793779550 904908687 1190669325 1508181145 1809817374 2381338650 3016362290 4524543435 7540905725 9049086870 15081811450 22622717175 45245434350