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45625665360 = 24351167257947
BaseRepresentation
bin101010011111100000…
…000110011101010000
311100202201201221120210
4222133200012131100
51221420132242420
632543220204120
73203434520352
oct523740063520
9140681657523
1045625665360
1118393553760
128a13b39640
1343c1724a32
1422cb7b70d2
1512c082a9e0
hexa9f806750

45625665360 has 160 divisors (see below), whose sum is σ = 156601262592. Its totient is φ = 10895639040.

The previous prime is 45625665263. The next prime is 45625665401. The reversal of 45625665360 is 6356652654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47907 + ... + 305853.

Almost surely, 245625665360 is an apocalyptic number.

45625665360 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 45625665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78300631296).

45625665360 is an abundant number, since it is smaller than the sum of its proper divisors (110975597232).

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

45625665360 is a wasteful number, since it uses less digits than its factorization.

45625665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258041 (or 258035 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 45625665360 in words is "forty-five billion, six hundred twenty-five million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 29480 35376 44220 58960 88440 176880 257947 515894 773841 1031788 1289735 1547682 2063576 2579470 2837417 3095364 3869205 4127152 5158940 5674834 6190728 7738410 8512251 10317880 11349668 12381456 14187085 15476820 17024502 17282449 20635760 22699336 28374170 30953640 34049004 34564898 42561255 45398672 51847347 56748340 61907280 68098008 69129796 85122510 86412245 103694694 113496680 136196016 138259592 170245020 172824490 190106939 207389388 226993360 259236735 276519184 340490040 345648980 380213878 414778776 518473470 570320817 680980080 691297960 760427756 829557552 950534695 1036946940 1140641634 1382595920 1520855512 1901069390 2073893880 2281283268 2851604085 3041711024 3802138780 4147787760 4562566536 5703208170 7604277560 9125133072 11406416340 15208555120 22812832680 45625665360