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104427810000 = 2432541160309
BaseRepresentation
bin110000101000001100…
…0011110110011010000
3100222112202100101200200
41201100120132303100
53202332004410000
6115550134215200
710354550511363
oct1412030366320
9328482311620
10104427810000
114031885a308
12182a47b4500
139b02c5b967
1450a91380da
152ab2d18500
hex185061ecd0

104427810000 has 150 divisors (see below), whose sum is σ = 365199450330. Its totient is φ = 27847392000.

The previous prime is 104427809957. The next prime is 104427810049. The reversal of 104427810000 is 18724401.

It can be written as a sum of positive squares in 5 ways, for example, as 78350727744 + 26077082256 = 279912^2 + 161484^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1044278100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 490155 + ... + 670154.

Almost surely, 2104427810000 is an apocalyptic number.

104427810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104427810000 is an abundant number, since it is smaller than the sum of its proper divisors (260771640330).

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

104427810000 is a wasteful number, since it uses less digits than its factorization.

104427810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160343 (or 1160319 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 104427810000 in words is "one hundred four billion, four hundred twenty-seven million, eight hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1160309 2320618 3480927 4641236 5801545 6961854 9282472 10442781 11603090 13923708 17404635 18564944 20885562 23206180 27847416 29007725 34809270 41771124 46412360 52213905 55694832 58015450 69618540 83542248 87023175 92824720 104427810 116030900 139237080 145038625 167084496 174046350 208855620 232061800 261069525 278474160 290077250 348092700 417711240 435115875 464123600 522139050 580154500 696185400 725193125 835422480 870231750 1044278100 1160309000 1305347625 1392370800 1450386250 1740463500 2088556200 2175579375 2320618000 2610695250 2900772500 3480927000 4177112400 4351158750 5221390500 5801545000 6526738125 6961854000 8702317500 10442781000 11603090000 13053476250 17404635000 20885562000 26106952500 34809270000 52213905000 104427810000