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61685921400 = 23352137750437
BaseRepresentation
bin111001011100110001…
…000111011001111000
312220012222221111010120
4321130301013121320
52002313043441100
644201011213240
74312430452305
oct713461073170
9186188844116
1061685921400
1124185104834
12bb565a7220
135a80b1760c
142db27520ac
1519107750a0
hexe5cc47678

61685921400 has 96 divisors (see below), whose sum is σ = 192622425840. Its totient is φ = 16329487360.

The previous prime is 61685921383. The next prime is 61685921441. The reversal of 61685921400 is 412958616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293019 + ... + 457418.

Almost surely, 261685921400 is an apocalyptic number.

61685921400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61685921400 is an abundant number, since it is smaller than the sum of its proper divisors (130936504440).

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

61685921400 is a wasteful number, since it uses less digits than its factorization.

61685921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750593 (or 750584 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61685921400 in words is "sixty-one billion, six hundred eighty-five million, nine hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 5480 6850 8220 10275 13700 16440 20550 27400 41100 82200 750437 1500874 2251311 3001748 3752185 4502622 6003496 7504370 9005244 11256555 15008740 18010488 18760925 22513110 30017480 37521850 45026220 56282775 75043700 90052440 102809869 112565550 150087400 205619738 225131100 308429607 411239476 450262200 514049345 616859214 822478952 1028098690 1233718428 1542148035 2056197380 2467436856 2570246725 3084296070 4112394760 5140493450 6168592140 7710740175 10280986900 12337184280 15421480350 20561973800 30842960700 61685921400