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2045079806440 = 2351116328514777
BaseRepresentation
bin11101110000101000010…
…000010110000111101000
321020111201010110021212211
4131300220100112013220
5232001310412301230
64203255141414504
7300515661352126
oct35605020260750
97214633407784
102045079806440
1171934a265670
1229042510a434
1311ab08b68758
1470da7974916
15382e593242a
hex1dc284161e8

2045079806440 has 64 divisors (see below), whose sum is σ = 5050537479360. Its totient is φ = 739102993920.

The previous prime is 2045079806423. The next prime is 2045079806489. The reversal of 2045079806440 is 446089705402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14185669 + ... + 14329108.

It is an arithmetic number, because the mean of its divisors is an integer number (78914648115).

Almost surely, 22045079806440 is an apocalyptic number.

2045079806440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045079806440 is an abundant number, since it is smaller than the sum of its proper divisors (3005457672920).

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

2045079806440 is a wasteful number, since it uses less digits than its factorization.

2045079806440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28514962 (or 28514958 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 2045079806440 in words is "two trillion, forty-five billion, seventy-nine million, eight hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 71720 28514777 57029554 114059108 142573885 228118216 285147770 313662547 570295540 627325094 1140591080 1254650188 1568312735 2509300376 3136625470 4647908651 6273250940 9295817302 12546501880 18591634604 23239543255 37183269208 46479086510 51126995161 92958173020 102253990322 185916346040 204507980644 255634975805 409015961288 511269951610 1022539903220 2045079806440