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2044177135644 = 2237311307600623
BaseRepresentation
bin11101101111110010011…
…100111011100000011100
321020102101012220212100010
4131233302130323200130
5231442433321320034
64203025414203220
7300454420650630
oct35576234734034
97212335825303
102044177135644
11718a26779746
12290212953510
1311a9c3b48517
1470d1db20dc0
15382915793e9
hex1dbf273b81c

2044177135644 has 96 divisors (see below), whose sum is σ = 5631296864256. Its totient is φ = 564776879040.

The previous prime is 2044177135621. The next prime is 2044177135657. The reversal of 2044177135644 is 4465317714402.

It is a junction number, because it is equal to n+sod(n) for n = 2044177135593 and 2044177135602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3103117 + ... + 3703739.

It is an arithmetic number, because the mean of its divisors is an integer number (58659342336).

Almost surely, 22044177135644 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 2044177135644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815648432128).

2044177135644 is an abundant number, since it is smaller than the sum of its proper divisors (3587119728612).

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

2044177135644 is a wasteful number, since it uses less digits than its factorization.

2044177135644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601975 (or 601973 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 2044177135644 in words is "two trillion, forty-four billion, one hundred seventy-seven million, one hundred thirty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1307 2604 2614 3921 5228 7842 9149 15684 18298 27447 36596 40517 54894 81034 109788 121551 162068 243102 283619 486204 567238 600623 850857 1134476 1201246 1701714 1801869 2402492 3403428 3603738 4204361 7207476 8408722 12613083 16817444 18619313 25226166 37238626 50452332 55857939 74477252 111715878 130335191 223431756 260670382 391005573 521340764 782011146 785014261 1564022292 1570028522 2355042783 3140057044 4710085566 5495099827 9420171132 10990199654 16485299481 21980399308 24335442091 32970598962 48670884182 65941197924 73006326273 97341768364 146012652546 170348094637 292025305092 340696189274 511044283911 681392378548 1022088567822 2044177135644