Search a number
-
+
37683020988 = 22334753140071
BaseRepresentation
bin100011000110000101…
…010100010010111100
310121021012020210211000
4203012011110102330
51104133323132423
625151125530300
72502551251644
oct430605242274
9117235223730
1037683020988
1114a880a0458
127377b73990
133727044072
141b7699d524
15ea83ae843
hex8c61544bc

37683020988 has 96 divisors (see below), whose sum is σ = 101658654720. Its totient is φ = 12061707840.

The previous prime is 37683020927. The next prime is 37683021007. The reversal of 37683020988 is 88902038673.

It is a super-2 number, since 2×376830209882 (a number of 22 digits) contains 22 as substring.

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

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, 198993 + ... + 339063.

It is an arithmetic number, because the mean of its divisors is an integer number (1058944320).

Almost surely, 237683020988 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 37683020988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50829327360).

37683020988 is an abundant number, since it is smaller than the sum of its proper divisors (63975633732).

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

37683020988 is a wasteful number, since it uses less digits than its factorization.

37683020988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140184 (or 140176 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 37683020988 in words is "thirty-seven billion, six hundred eighty-three million, twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 53 54 94 106 108 141 159 188 212 282 318 423 477 564 636 846 954 1269 1431 1692 1908 2491 2538 2862 4982 5076 5724 7473 9964 14946 22419 29892 44838 67257 89676 134514 140071 269028 280142 420213 560284 840426 1260639 1680852 2521278 3781917 5042556 6583337 7423763 7563834 13166674 14847526 15127668 19750011 22271289 26333348 29695052 39500022 44542578 59250033 66813867 79000044 89085156 118500066 133627734 177750099 200441601 237000132 267255468 348916861 355500198 400883202 697833722 711000396 801766404 1046750583 1395667444 2093501166 3140251749 4187002332 6280503498 9420755247 12561006996 18841510494 37683020988