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616426203440 = 245233110806911
BaseRepresentation
bin10001111100001011101…
…11010110100100110000
32011221002210122122111102
420332011313112210300
540044420102002230
61151103212503532
762351421163655
oct10760567264460
92157083578442
10616426203440
11218474581343
129b573a7aba8
1346189acac08
1421b99a7bc2c
151107bea1045
hex8f85dd6930

616426203440 has 80 divisors (see below), whose sum is σ = 1543745765376. Its totient is φ = 228241939200.

The previous prime is 616426203433. The next prime is 616426203451. The reversal of 616426203440 is 44302624616.

616426203440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 616426203394 and 616426203403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5346416 + ... + 5460495.

Almost surely, 2616426203440 is an apocalyptic number.

It is an amenable number.

616426203440 is an abundant number, since it is smaller than the sum of its proper divisors (927319561936).

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

616426203440 is a wasteful number, since it uses less digits than its factorization.

616426203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806978 (or 10806972 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 616426203440 in words is "six hundred sixteen billion, four hundred twenty-six million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 10806911 21613822 43227644 54034555 86455288 108069110 172910576 216138220 248558953 335014241 432276440 497117906 670028482 864552880 994235812 1242794765 1340056964 1675071205 1988471624 2485589530 2680113928 3350142410 3976943248 4971179060 5360227856 6700284820 7705327543 9942358120 13400569640 15410655086 19884716240 26801139280 30821310172 38526637715 61642620344 77053275430 123285240688 154106550860 308213101720 616426203440