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45076313400 = 23352163460903
BaseRepresentation
bin101001111110110000…
…011111010100111000
311022100110000222100220
4221332300133110320
51214304014012100
632412513500040
73154014225216
oct517660372470
9138313028326
1045076313400
1118131449478
12889bb71620
1343349804c1
142278855cb6
15128c4b4aa0
hexa7ec1f538

45076313400 has 96 divisors (see below), whose sum is σ = 140594156160. Its totient is φ = 11946579840.

The previous prime is 45076313383. The next prime is 45076313441. The reversal of 45076313400 is 431367054.

It is a congruent number.

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, 132652 + ... + 328251.

It is an arithmetic number, because the mean of its divisors is an integer number (1464522460).

Almost surely, 245076313400 is an apocalyptic number.

45076313400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45076313400 is an abundant number, since it is smaller than the sum of its proper divisors (95517842760).

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

45076313400 is a wasteful number, since it uses less digits than its factorization.

45076313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461085 (or 461076 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 45076313400 in words is "forty-five billion, seventy-six million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 460903 921806 1382709 1843612 2304515 2765418 3687224 4609030 5530836 6913545 9218060 11061672 11522575 13827090 18436120 23045150 27654180 34567725 46090300 55308360 69135450 75127189 92180600 138270900 150254378 225381567 276541800 300508756 375635945 450763134 601017512 751271890 901526268 1126907835 1502543780 1803052536 1878179725 2253815670 3005087560 3756359450 4507631340 5634539175 7512718900 9015262680 11269078350 15025437800 22538156700 45076313400