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10419007900 = 2252725575821
BaseRepresentation
bin10011011010000010…
…10111000110011100
3222220010012102220111
421231001113012130
5132314231223100
64441511255404
7516123051220
oct115501270634
928803172814
1010419007900
114467292934
12202937a564
13ca0755742
1470ba74780
1540ea786ba
hex26d05719c

10419007900 has 72 divisors (see below), whose sum is σ = 25853685536. Its totient is φ = 3570220800.

The previous prime is 10419007897. The next prime is 10419007901. The reversal of 10419007900 is 970091401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419007901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786990 + ... + 1792810.

Almost surely, 210419007900 is an apocalyptic number.

10419007900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10419007900 is an abundant number, since it is smaller than the sum of its proper divisors (15434677636).

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

10419007900 is a wasteful number, since it uses less digits than its factorization.

10419007900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 10419007900 in words is "ten billion, four hundred nineteen million, seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2557 5114 5821 10228 11642 12785 17899 23284 25570 29105 35798 40747 51140 58210 63925 71596 81494 89495 116420 127850 145525 162988 178990 203735 255700 291050 357980 407470 447475 582100 814940 894950 1018675 1789900 2037350 4074700 14884297 29768594 59537188 74421485 104190079 148842970 208380158 297685940 372107425 416760316 520950395 744214850 1041900790 1488429700 2083801580 2604751975 5209503950 10419007900