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45175237640 = 235131718312791
BaseRepresentation
bin101010000100101001…
…110110110000001000
311022121100011211220122
4222010221312300020
51220004330101030
632430410042412
73156325120121
oct520451666010
9138540154818
1045175237640
1118182275745
128909119408
13434c308460
142287a47048
1512960058e5
hexa84a76c08

45175237640 has 128 divisors (see below), whose sum is σ = 116006929920. Its totient is φ = 15684710400.

The previous prime is 45175237637. The next prime is 45175237649. The reversal of 45175237640 is 4673257154.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45175237591 and 45175237600.

It is not an unprimeable number, because it can be changed into a prime (45175237649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16184645 + ... + 16187435.

It is an arithmetic number, because the mean of its divisors is an integer number (906304140).

Almost surely, 245175237640 is an apocalyptic number.

45175237640 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 45175237640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003464960).

45175237640 is an abundant number, since it is smaller than the sum of its proper divisors (70831692280).

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

45175237640 is a wasteful number, since it uses less digits than its factorization.

45175237640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 45175237640 in words is "forty-five billion, one hundred seventy-five million, two hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 1831 2210 2791 3662 4420 5582 7324 8840 9155 11164 13955 14648 18310 22328 23803 27910 31127 36283 36620 47447 47606 55820 62254 72566 73240 94894 95212 111640 119015 124508 145132 155635 181415 189788 190424 237235 238030 249016 290264 311270 362830 379576 404651 474470 476060 616811 622540 725660 809302 948940 952120 1233622 1245080 1451320 1618604 1897880 2023255 2467244 3084055 3237208 4046510 4934488 5110321 6168110 8093020 10220642 12336220 16186040 20441284 24672440 25551605 40882568 51103210 66434173 86875457 102206420 132868346 173750914 204412840 265736692 332170865 347501828 434377285 531473384 664341730 695003656 868754570 1129380941 1328683460 1737509140 2258761882 2657366920 3475018280 4517523764 5646904705 9035047528 11293809410 22587618820 45175237640