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23418397840 = 2452910094137
BaseRepresentation
bin10101110011110110…
…000110010010010000
32020110001211212112011
4111303312012102100
5340430102212330
614431441312304
71456221045235
oct256366062220
966401755464
1023418397840
119a28090a02
124656935694
132292972856
1411c22c178c
15920e0982a
hex573d86490

23418397840 has 40 divisors (see below), whose sum is σ = 56325290040. Its totient is φ = 9044345856.

The previous prime is 23418397789. The next prime is 23418397841. The reversal of 23418397840 is 4879381432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60777616 + 23357620224 = 7796^2 + 152832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23418397841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5044749 + ... + 5049388.

It is an arithmetic number, because the mean of its divisors is an integer number (1408132251).

Almost surely, 223418397840 is an apocalyptic number.

23418397840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23418397840 is an abundant number, since it is smaller than the sum of its proper divisors (32906892200).

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

23418397840 is a wasteful number, since it uses less digits than its factorization.

23418397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094179 (or 10094173 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 23418397840 in words is "twenty-three billion, four hundred eighteen million, three hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 10094137 20188274 40376548 50470685 80753096 100941370 161506192 201882740 292729973 403765480 585459946 807530960 1170919892 1463649865 2341839784 2927299730 4683679568 5854599460 11709198920 23418397840