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2690165744 = 247232936011
BaseRepresentation
bin1010000001011000…
…1010101111110000
320221111000120122022
42200112022233300
521002140300434
61122535331012
7123444013550
oct24026125760
96844016568
102690165744
11116058a382
12630b20a68
1333b452466
141b73d3160
1510b29122e
hexa058abf0

2690165744 has 80 divisors (see below), whose sum is σ = 6430302720. Its totient is φ = 1064743680.

The previous prime is 2690165741. The next prime is 2690165783. The reversal of 2690165744 is 4475610962.

It is a junction number, because it is equal to n+sod(n) for n = 2690165695 and 2690165704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690165741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56699 + ... + 92709.

It is an arithmetic number, because the mean of its divisors is an integer number (80378784).

Almost surely, 22690165744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690165744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215151360).

2690165744 is an abundant number, since it is smaller than the sum of its proper divisors (3740136976).

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

2690165744 is a wasteful number, since it uses less digits than its factorization.

2690165744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36078 (or 36072 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 2690165744 is about 51866.8077290284. The cubic root of 2690165744 is about 1390.7839795277.

The spelling of 2690165744 in words is "two billion, six hundred ninety million, one hundred sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 2576 2668 3248 4669 5336 9338 10672 18676 36011 37352 72022 74704 144044 252077 288088 504154 576176 828253 1008308 1044319 1656506 2016616 2088638 3313012 4033232 4177276 5797771 6626024 7310233 8354552 11595542 13252048 14620466 16709104 23191084 24019337 29240932 46382168 48038674 58481864 92764336 96077348 116963728 168135359 192154696 336270718 384309392 672541436 1345082872 2690165744