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2493381892040 = 235137331654067
BaseRepresentation
bin100100010010001001001…
…001000101011111001000
322211100212001220211210222
4210102021021011133020
5311322421231021130
65145235511125212
7345066220251134
oct44221111053710
98740761824728
102493381892040
1188148a091876
12343298673808
1315118154a620
1488974b663c4
1544cd2acece5
hex244892457c8

2493381892040 has 64 divisors (see below), whose sum is σ = 6042489485760. Its totient is φ = 920506325760.

The previous prime is 2493381892039. The next prime is 2493381892061. The reversal of 2493381892040 is 402981833942.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 3485087 + ... + 4139153.

It is an arithmetic number, because the mean of its divisors is an integer number (94413898215).

Almost surely, 22493381892040 is an apocalyptic number.

2493381892040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2493381892040 is an abundant number, since it is smaller than the sum of its proper divisors (3549107593720).

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

2493381892040 is a wasteful number, since it uses less digits than its factorization.

2493381892040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661422 (or 661418 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 2493381892040 in words is "two trillion, four hundred ninety-three billion, three hundred eighty-one million, eight hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7331 14662 29324 36655 58648 73310 95303 146620 190606 293240 381212 476515 654067 762424 953030 1308134 1906060 2616268 3270335 3812120 5232536 6540670 8502871 13081340 17005742 26162680 34011484 42514355 68022968 85028710 170057420 340114840 4794965177 9589930354 19179860708 23974825885 38359721416 47949651770 62334547301 95899303540 124669094602 191798607080 249338189204 311672736505 498676378408 623345473010 1246690946020 2493381892040