Search a number
-
+
45532463648 = 257259677727
BaseRepresentation
bin101010011001111100…
…100100001000100000
311100112020100210212112
4222121330210020200
51221222302314043
632530050414452
73201223361300
oct523174441040
9140466323775
1045532463648
1118345985951
1289a8891428
1343a83216a9
1422bd275600
1512b756a518
hexa99f24220

45532463648 has 144 divisors (see below), whose sum is σ = 106347608640. Its totient is φ = 19128485376.

The previous prime is 45532463633. The next prime is 45532463663. The reversal of 45532463648 is 84636423554.

It is an interprime number because it is at equal distance from previous prime (45532463633) and next prime (45532463663).

It is a junction number, because it is equal to n+sod(n) for n = 45532463596 and 45532463605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62630261 + ... + 62630987.

It is an arithmetic number, because the mean of its divisors is an integer number (738525060).

Almost surely, 245532463648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45532463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53173804320).

45532463648 is an abundant number, since it is smaller than the sum of its proper divisors (60815144992).

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

45532463648 is a wasteful number, since it uses less digits than its factorization.

45532463648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1472 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 45532463648 in words is "forty-five billion, five hundred thirty-two million, four hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 677 727 784 826 944 1354 1454 1568 1652 1888 2708 2891 2908 3304 4739 5089 5416 5782 5816 6608 9478 10178 10832 11564 11632 13216 18956 20356 21664 23128 23264 33173 35623 37912 39943 40712 42893 46256 66346 71246 75824 79886 81424 85786 92512 132692 142492 151648 159772 162848 171572 265384 279601 284984 300251 319544 343144 492179 530768 559202 569968 600502 639088 686288 984358 1061536 1118404 1139936 1201004 1278176 1372576 1957207 1968716 2101757 2236808 2402008 3445253 3914414 3937432 4203514 4473616 4804016 6890506 7828828 7874864 8407028 8947232 9608032 13781012 15657656 15749728 16814056 24116771 27562024 29038561 31315312 33628112 48233542 55124048 58077122 62630624 67256224 96467084 110248096 116154244 192934168 203269927 232308488 385868336 406539854 464616976 771736672 813079708 929233952 1422889489 1626159416 2845778978 3252318832 5691557956 6504637664 11383115912 22766231824 45532463648