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45552513280 = 285292235503
BaseRepresentation
bin101010011011001001…
…000011000100000000
311100120122002102210111
4222123021003010000
51221242420411110
632532044241104
73201555655111
oct523311030400
9140518072714
1045552513280
111835622a49a
1289b3540194
1343ac521591
1422c1bb4208
1512b91cae8a
hexa9b243100

45552513280 has 144 divisors (see below), whose sum is σ = 113401774080. Its totient is φ = 17510621184.

The previous prime is 45552513277. The next prime is 45552513313. The reversal of 45552513280 is 8231525554.

It is a super-2 number, since 2×455525132802 (a number of 22 digits) contains 22 as substring.

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

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, 8275009 + ... + 8280511.

It is an arithmetic number, because the mean of its divisors is an integer number (787512320).

Almost surely, 245552513280 is an apocalyptic number.

45552513280 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 45552513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700887040).

45552513280 is an abundant number, since it is smaller than the sum of its proper divisors (67849260800).

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

45552513280 is a wasteful number, since it uses less digits than its factorization.

45552513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 45552513280 in words is "forty-five billion, five hundred fifty-two million, five hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 223 232 256 290 320 446 464 580 640 892 928 1115 1160 1280 1784 1856 2230 2320 3568 3712 4460 4640 5503 6467 7136 7424 8920 9280 11006 12934 14272 17840 18560 22012 25868 27515 28544 32335 35680 37120 44024 51736 55030 57088 64670 71360 88048 103472 110060 129340 142720 159587 176096 206944 220120 258680 285440 319174 352192 413888 440240 517360 638348 704384 797935 827776 880480 1034720 1227169 1276696 1408768 1595870 1655552 1760960 2069440 2454338 2553392 3191740 3521920 4138880 4908676 5106784 6135845 6383480 7043840 8277760 9817352 10213568 12271690 12766960 19634704 20427136 24543380 25533920 35587901 39269408 40854272 49086760 51067840 71175802 78538816 98173520 102135680 142351604 157077632 177939505 196347040 204271360 284703208 314155264 355879010 392694080 569406416 711758020 785388160 1138812832 1423516040 1570776320 2277625664 2847032080 4555251328 5694064160 9110502656 11388128320 22776256640 45552513280