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1983997638 = 234783107197
BaseRepresentation
bin111011001000001…
…0110011011000110
312010021020112010000
41312100112123012
513030400411023
6524511542130
7100110462450
oct16620263306
95107215100
101983997638
11928a07877
1247452a946
132580636cc
1414b6d12d0
15b92a1243
hex764166c6

1983997638 has 160 divisors (see below), whose sum is σ = 5216327424. Its totient is φ = 551976768.

The previous prime is 1983997621. The next prime is 1983997649. The reversal of 1983997638 is 8367993891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10070956 + ... + 10071152.

Almost surely, 21983997638 is an apocalyptic number.

1983997638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983997638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608163712).

1983997638 is an abundant number, since it is smaller than the sum of its proper divisors (3232329786).

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

1983997638 is a wasteful number, since it uses less digits than its factorization.

1983997638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 1983997638 is about 44542.0883883996. The cubic root of 1983997638 is about 1256.5517623044.

The spelling of 1983997638 in words is "one billion, nine hundred eighty-three million, nine hundred ninety-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 83 107 126 162 166 189 197 214 249 321 378 394 498 567 581 591 642 747 749 963 1134 1162 1182 1379 1494 1498 1743 1773 1926 2241 2247 2758 2889 3486 3546 4137 4482 4494 5229 5319 5778 6723 6741 8274 8667 8881 10458 10638 12411 13446 13482 15687 15957 16351 17334 17762 20223 21079 24822 26643 31374 31914 32702 37233 40446 42158 47061 49053 53286 60669 62167 63237 74466 79929 94122 98106 111699 114457 121338 124334 126474 147159 147553 159858 186501 189711 223398 228914 239787 294318 295106 343371 373002 379422 441477 442659 479574 559503 569133 686742 719361 882954 885318 1030113 1119006 1138266 1324431 1327977 1438722 1678509 1707399 1749557 2060226 2648862 2655954 3090339 3357018 3414798 3499114 3983931 5035527 5248671 6180678 7967862 9271017 10071054 10497342 11951793 12246899 15746013 18542034 23903586 24493798 31492026 36740697 47238039 73481394 94476078 110222091 141714117 220444182 283428234 330666273 661332546 991998819 1983997638