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204004614044 = 227112345236367
BaseRepresentation
bin1011110111111110011…
…1110101111110011100
3201111120102200011020002
42331333213311332130
511320300140122134
6233415102513432
720511265415420
oct2757747657634
9644512604202
10204004614044
1179577316a90
1233654895878
1316311b97a9a
149c33cb6b80
15548ed0b87e
hex2f7f9f5f9c

204004614044 has 96 divisors (see below), whose sum is σ = 464628842496. Its totient is φ = 75997817280.

The previous prime is 204004614019. The next prime is 204004614053. The reversal of 204004614044 is 440416400402.

It is a junction number, because it is equal to n+sod(n) for n = 204004613998 and 204004614016.

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, 32037749 + ... + 32044115.

It is an arithmetic number, because the mean of its divisors is an integer number (4839883776).

Almost surely, 2204004614044 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 204004614044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232314421248).

204004614044 is an abundant number, since it is smaller than the sum of its proper divisors (260624228452).

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

204004614044 is a wasteful number, since it uses less digits than its factorization.

204004614044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 204004614044 in words is "two hundred four billion, four million, six hundred fourteen thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 4523 6367 7084 9046 12734 18092 25468 31661 44569 49753 63322 70037 89138 99506 104029 126644 140074 146441 178276 199012 208058 280148 292882 348271 416116 490259 585764 696542 728203 980518 1025087 1144319 1393084 1456406 1610851 1961036 2050174 2288638 2912812 3221702 4100348 4577276 6443404 8010233 11275957 16020466 22551914 28797941 32040932 45103828 57595882 115191764 201585587 316777351 403171174 633554702 662352643 806342348 1267109404 1324705286 2217441457 2649410572 4434882914 4636468501 7285879073 8869765828 9272937002 14571758146 18545874004 29143516292 51001153511 102002307022 204004614044