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2141557704 = 233411313191
BaseRepresentation
bin111111110100101…
…1001001111001000
312112020201101220000
41333221121033020
513341214321304
6552301003000
7104032640316
oct17751311710
95466641800
102141557704
119a9943000
124b9253460
132818ab710
141645c70b6
15c8025939
hex7fa593c8

2141557704 has 320 divisors, whose sum is σ = 7142446080. Its totient is φ = 595900800.

The previous prime is 2141557699. The next prime is 2141557729. The reversal of 2141557704 is 4077551412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11212249 + ... + 11212439.

It is an arithmetic number, because the mean of its divisors is an integer number (22320144).

Almost surely, 22141557704 is an apocalyptic number.

2141557704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141557704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571223040).

2141557704 is an abundant number, since it is smaller than the sum of its proper divisors (5000888376).

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

2141557704 is a wasteful number, since it uses less digits than its factorization.

2141557704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 2141557704 is about 46276.9673163659. The cubic root of 2141557704 is about 1288.9713378732.

The spelling of 2141557704 in words is "two billion, one hundred forty-one million, five hundred fifty-seven thousand, seven hundred four".