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45326634000 = 2435340118839
BaseRepresentation
bin101010001101101011…
…011000110000010000
311022222220001120200020
4222031223120300100
51220312104242000
632453415023440
73163144013664
oct521553306020
9138886046606
1045326634000
111824a780aaa
12894b96ab80
1343747a5abb
14229dbb68a4
1512a445dba0
hexa8dad8c10

45326634000 has 160 divisors (see below), whose sum is σ = 146505265920. Its totient is φ = 12056320000.

The previous prime is 45326633993. The next prime is 45326634007. The reversal of 45326634000 is 43662354.

It is an interprime number because it is at equal distance from previous prime (45326633993) and next prime (45326634007).

It is not an unprimeable number, because it can be changed into a prime (45326634007) 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, 2396581 + ... + 2415419.

It is an arithmetic number, because the mean of its divisors is an integer number (915657912).

Almost surely, 245326634000 is an apocalyptic number.

45326634000 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 45326634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73252632960).

45326634000 is an abundant number, since it is smaller than the sum of its proper divisors (101178631920).

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

45326634000 is a wasteful number, since it uses less digits than its factorization.

45326634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19266 (or 19250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 45326634000 in words is "forty-five billion, three hundred twenty-six million, six hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 401 500 600 750 802 1000 1200 1203 1500 1604 2000 2005 2406 3000 3208 4010 4812 6000 6015 6416 8020 9624 10025 12030 16040 18839 19248 20050 24060 30075 32080 37678 40100 48120 50125 56517 60150 75356 80200 94195 96240 100250 113034 120300 150375 150712 160400 188390 200500 226068 240600 282585 300750 301424 376780 401000 452136 470975 481200 565170 601500 753560 802000 904272 941950 1130340 1203000 1412925 1507120 1883900 2260680 2354875 2406000 2825850 3767800 4521360 4709750 5651700 7064625 7535600 7554439 9419500 11303400 14129250 15108878 18839000 22606800 22663317 28258500 30217756 37678000 37772195 45326634 56517000 60435512 75544390 90653268 113034000 113316585 120871024 151088780 181306536 188860975 226633170 302177560 362613072 377721950 453266340 566582925 604355120 755443900 906532680 944304875 1133165850 1510887800 1813065360 1888609750 2266331700 2832914625 3021775600 3777219500 4532663400 5665829250 7554439000 9065326800 11331658500 15108878000 22663317000 45326634000