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1993774734 = 2327233122193
BaseRepresentation
bin111011011010110…
…1001011010001110
312010221122020202200
41312311221122032
513040401242414
6525501302330
7100256543220
oct16665513216
95127566680
101993774734
11933485516
124778649a6
1325a0a7983
1414cb18410
15ba083109
hex76d6968e

1993774734 has 96 divisors (see below), whose sum is σ = 5318037504. Its totient is φ = 527281920.

The previous prime is 1993774729. The next prime is 1993774753. The reversal of 1993774734 is 4374773991.

1993774734 is a `hidden beast` number, since 19 + 93 + 77 + 473 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78742 + ... + 100934.

It is an arithmetic number, because the mean of its divisors is an integer number (55396224).

Almost surely, 21993774734 is an apocalyptic number.

1993774734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993774734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659018752).

1993774734 is an abundant number, since it is smaller than the sum of its proper divisors (3324262770).

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

1993774734 is a wasteful number, since it uses less digits than its factorization.

1993774734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22262 (or 22259 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 1993774734 is about 44651.7047154977. The cubic root of 1993774734 is about 1258.6124672961.

The spelling of 1993774734 in words is "one billion, nine hundred ninety-three million, seven hundred seventy-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1302 1426 1449 1953 2139 2898 3906 4278 4991 6417 9982 12834 14973 22193 29946 44386 44919 66579 89838 133158 155351 199737 310702 399474 466053 510439 687983 932106 1020878 1375966 1398159 1531317 2063949 2796318 3062634 3573073 4127898 4593951 4815881 6191847 7146146 9187902 9631762 10719219 12383694 14447643 15823609 21438438 28895286 31647218 32157657 43342929 47470827 64315314 86685858 94941654 110765263 142412481 221530526 284824962 332295789 664591578 996887367 1993774734