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107086920000 = 26354892391
BaseRepresentation
bin110001110111011100…
…0001011100101000000
3101020102001221011212020
41203232320023211000
53223303222420000
6121110044201440
710510466541564
oct1435670134500
9336361834766
10107086920000
1141462857a85
1218907239280
13a137b29728
14527c3656a4
152bbb4c2ba0
hex18eee0b940

107086920000 has 140 divisors (see below), whose sum is σ = 354054741216. Its totient is φ = 28556480000.

The previous prime is 107086919993. The next prime is 107086920011. The reversal of 107086920000 is 29680701.

It is a super-2 number, since 2×1070869200002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326196 + ... + 566195.

Almost surely, 2107086920000 is an apocalyptic number.

107086920000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107086920000 is an abundant number, since it is smaller than the sum of its proper divisors (246967821216).

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

107086920000 is an frugal number, since it uses more digits than its factorization.

107086920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892426 (or 892401 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 107086920000 in words is "one hundred seven billion, eighty-six million, nine hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 892391 1784782 2677173 3569564 4461955 5354346 7139128 8923910 10708692 13385865 14278256 17847820 21417384 22309775 26771730 28556512 35695640 42834768 44619550 53543460 57113024 66929325 71391280 85669536 89239100 107086920 111548875 133858650 142782560 171339072 178478200 214173840 223097750 267717300 285565120 334646625 356956400 428347680 446195500 535434600 557744375 669293250 713912800 856695360 892391000 1070869200 1115488750 1338586500 1427825600 1673233125 1784782000 2141738400 2230977500 2677173000 3346466250 3569564000 4283476800 4461955000 5354346000 6692932500 7139128000 8923910000 10708692000 13385865000 17847820000 21417384000 26771730000 35695640000 53543460000 107086920000