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16983693144 = 2334114355411
BaseRepresentation
bin11111101000100111…
…01001011101011000
31121211121211000010000
433310103221131120
5234240311140034
611445135253000
71140605003235
oct176423513530
947747730100
1016983693144
117225941040
12335b97a160
1317a8803c92
14b7187678c
15696055599
hex3f44e9758

16983693144 has 160 divisors (see below), whose sum is σ = 53102427840. Its totient is φ = 5026795200.

The previous prime is 16983693059. The next prime is 16983693151. The reversal of 16983693144 is 44139638961.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278799 + ... + 334209.

It is an arithmetic number, because the mean of its divisors is an integer number (331890174).

Almost surely, 216983693144 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 16983693144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26551213920).

16983693144 is an abundant number, since it is smaller than the sum of its proper divisors (36118734696).

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

16983693144 is a wasteful number, since it uses less digits than its factorization.

16983693144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55483 (or 55470 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 16983693144 in words is "sixteen billion, nine hundred eighty-three million, six hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 81 86 88 99 108 129 132 162 172 198 216 258 264 297 324 344 387 396 473 516 594 648 774 792 891 946 1032 1161 1188 1419 1548 1782 1892 2322 2376 2838 3096 3483 3564 3784 4257 4644 5676 6966 7128 8514 9288 11352 12771 13932 17028 25542 27864 34056 38313 51084 55411 76626 102168 110822 153252 166233 221644 306504 332466 443288 498699 609521 664932 997398 1219042 1329864 1496097 1828563 1994796 2382673 2438084 2992194 3657126 3989592 4488291 4765346 4876168 5485689 5984388 7148019 7314252 8976582 9530692 10971378 11968776 14296038 14628504 16457067 17953164 19061384 21444057 21942756 26209403 28592076 32914134 35906328 42888114 43885512 49371201 52418806 57184152 64332171 65828268 78628209 85776228 98742402 104837612 128664342 131656536 157256418 171552456 192996513 197484804 209675224 235884627 257328684 314512836 385993026 394969608 471769254 514657368 629025672 707653881 771986052 943538508 1415307762 1543972104 1887077016 2122961643 2830615524 4245923286 5661231048 8491846572 16983693144