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107821738640 = 24571123761023
BaseRepresentation
bin110010001101010101…
…1010010101010010000
3101022022021121211112102
41210122223102222100
53231304331114030
6121311014015532
710534631441150
oct1443253225220
9338267554472
10107821738640
11417aa619110
1218a913475a8
13a22413a165
14530bba4760
152c10c71c45
hex191aad2a90

107821738640 has 160 divisors (see below), whose sum is σ = 326132269056. Its totient is φ = 32145569280.

The previous prime is 107821738639. The next prime is 107821738649. The reversal of 107821738640 is 46837128701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107821738649) 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, 238832 + ... + 522191.

Almost surely, 2107821738640 is an apocalyptic number.

107821738640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107821738640 is an abundant number, since it is smaller than the sum of its proper divisors (218310530416).

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

107821738640 is a wasteful number, since it uses less digits than its factorization.

107821738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761077 (or 761071 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 107821738640 in words is "one hundred seven billion, eight hundred twenty-one million, seven hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 644 770 805 880 920 1012 1232 1265 1288 1540 1610 1771 1840 2024 2530 2576 3080 3220 3542 4048 5060 6160 6440 7084 8855 10120 12880 14168 17710 20240 28336 35420 70840 141680 761023 1522046 3044092 3805115 5327161 6088184 7610230 8371253 10654322 12176368 15220460 16742506 17503529 21308644 26635805 30440920 33485012 35007058 41856265 42617288 53271610 58598771 60881840 66970024 70014116 83712530 85234576 87517645 106543220 117197542 122524703 133940048 140028232 167425060 175035290 192538819 213086440 234395084 245049406 280056464 292993855 334850120 350070580 385077638 426172880 468790168 490098812 585987710 612623515 669700240 700141160 770155276 937580336 962694095 980197624 1171975420 1225247030 1347771733 1400282320 1540310552 1925388190 1960395248 2343950840 2450494060 2695543466 3080621104 3850776380 4687901680 4900988120 5391086932 6738858665 7701552760 9801976240 10782173864 13477717330 15403105520 21564347728 26955434660 53910869320 107821738640